diff --git a/docs/cloud/agent/human-in-the-loop.mdx b/docs/cloud/agent/human-in-the-loop.mdx
index 816f4047..f736ae9f 100644
--- a/docs/cloud/agent/human-in-the-loop.mdx
+++ b/docs/cloud/agent/human-in-the-loop.mdx
@@ -5,7 +5,9 @@ icon: hand
 ---
 
 Use a human checkpoint for approvals, authentication, payments, or review.
-After a run stops, get its `live_view_url` from the `browser.ready` event:
+Get its `live_view_url` with the SDK's event-wait helper, which follows event
+cursors instead of searching only the first page. Wait for the run to stop at
+the checkpoint before letting a person interact:
 
 <CodeGroup>
 ```python Python
@@ -15,16 +17,11 @@ client = BrowserUse()
 run = client.runs.create(
     "Open the login page and stop for human review"
 )
-run = client.runs.wait_for_completion(run.id)
-
-events = client.runs.events(run.id, limit=100)
-ready = next(
-    event for event in events.events
-    if event.type == "browser.ready"
-)
+ready = client.runs.wait_for_event(run.id, "browser.ready")
+client.runs.wait_for_completion(run.id)
 print(ready.data["live_view_url"])
 
-# After the human finishes:
+input("Press Enter after finishing the human step...")
 next_run = client.runs.create(
     "Continue from the current page",
     session_id=run.session_id,
@@ -32,30 +29,31 @@ next_run = client.runs.create(
 ```
 ```typescript TypeScript
 import { BrowserUse } from "browser-use-sdk/v4";
+import * as readline from "node:readline/promises";
 
 const client = new BrowserUse();
 const run = await client.runs.create({
   task: "Open the login page and stop for human review",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
 });
+const ready = await client.runs.waitForEvent(run.id, "browser.ready");
 await client.runs.waitForCompletion(run.id);
+console.log(ready.data.live_view_url);
 
-const events = await client.runs.events(run.id, {
-  limit: 100,
-});
-const ready = events.events.find(
-  (event) => event.type === "browser.ready",
-);
-console.log(ready?.data.live_view_url);
-
-// After the human finishes:
+const rl = readline.createInterface({ input: process.stdin, output: process.stdout });
+await rl.question("Press Enter after finishing the human step...");
+rl.close();
 const nextRun = await client.runs.create({
   task: "Continue from the current page",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   sessionId: run.sessionId,
 });
 ```
 </CodeGroup>
 
 The same session preserves the conversation and workspace and reuses the live
-browser while it is available. Treat live-view URLs as credentials.
+browser while it is available. Complete the human step before that browser
+expires. In a web app, replace the terminal prompt with an explicit Continue
+control. Treat live-view URLs as credentials.
diff --git a/docs/cloud/agent/scripts.mdx b/docs/cloud/agent/scripts.mdx
index cfbda783..182d5503 100644
--- a/docs/cloud/agent/scripts.mdx
+++ b/docs/cloud/agent/scripts.mdx
@@ -57,7 +57,8 @@ first = client.runs.create(
     proof/run-2.json. Confirm both outputs have a fresh fetched_at value and
     five stories. Add scripts/README.md with the command to run it again.
     """,
-    model="grok-4.5",
+    model="gpt-5.6-luna",
+    model_params={"reasoning": {"effort": "xhigh"}},
     workspace_id=workspace.id,
 )
 client.runs.wait_for_completion(first.id)
@@ -87,7 +88,8 @@ const first = await client.runs.create({
     proof/run-2.json. Confirm both outputs have a fresh fetched_at value and
     five stories. Add scripts/README.md with the command to run it again.
   `,
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   workspaceId: workspace.id,
 });
 await client.runs.waitForCompletion(first.id);
@@ -119,7 +121,8 @@ later = client.runs.create(
     has five stories. If the script fails or the result is malformed, inspect
     the live page and repair the saved script before returning the new result.
     """,
-    model="grok-4.5",
+    model="gpt-5.6-luna",
+    model_params={"reasoning": {"effort": "xhigh"}},
     workspace_id=workspace_id,
 )
 result = client.runs.wait_for_completion(later.id)
@@ -138,7 +141,8 @@ const later = await client.runs.create({
     has five stories. If the script fails or the result is malformed, inspect
     the live page and repair the saved script before returning the new result.
   `,
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   workspaceId,
 });
 const result = await client.runs.waitForCompletion(later.id);
diff --git a/docs/cloud/agent/sessions.mdx b/docs/cloud/agent/sessions.mdx
index 85da2173..bd27f72e 100644
--- a/docs/cloud/agent/sessions.mdx
+++ b/docs/cloud/agent/sessions.mdx
@@ -38,13 +38,15 @@ print(result.result)
 ```typescript TypeScript
 const first = await client.runs.create({
   task: "Open Hacker News",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
 });
 await client.runs.waitForCompletion(first.id);
 
 const followUp = await client.runs.create({
   task: "Now summarize the top story",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   sessionId: first.sessionId,
 });
 const result = await client.runs.waitForCompletion(followUp.id);
diff --git a/docs/cloud/agent/structured-output.mdx b/docs/cloud/agent/structured-output.mdx
index dc992fac..0c359e35 100644
--- a/docs/cloud/agent/structured-output.mdx
+++ b/docs/cloud/agent/structured-output.mdx
@@ -37,7 +37,8 @@ const Story = z.object({
 
 const run = await client.runs.create({
   task: 'Find the top HN story. Return only {"title":"...","points":0}.',
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
 });
 const result = await client.runs.waitForCompletion(run.id);
 const story = Story.parse(JSON.parse(result.result ?? "{}"));
diff --git a/docs/cloud/agent/workspaces.mdx b/docs/cloud/agent/workspaces.mdx
index 271e16cd..0ffef421 100644
--- a/docs/cloud/agent/workspaces.mdx
+++ b/docs/cloud/agent/workspaces.mdx
@@ -57,7 +57,8 @@ await client.workspaces.upload(
 
 const run = await client.runs.create({
   task: "Find everyone in the CSV who works at Google",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   workspaceId: workspace.id,
 });
 ```
diff --git a/docs/cloud/browser/live-preview.mdx b/docs/cloud/browser/live-preview.mdx
index 4f5df0fd..5bbc7dfd 100644
--- a/docs/cloud/browser/live-preview.mdx
+++ b/docs/cloud/browser/live-preview.mdx
@@ -22,7 +22,8 @@ import { BrowserUse } from "browser-use-sdk/v4";
 const client = new BrowserUse();
 const run = await client.runs.create({
   task: "Find the top Hacker News story",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
 });
 const ready = await client.runs.waitForEvent(run.id, "browser.ready", { interval: 3_000 });
 console.log(ready.data.live_view_url);
@@ -121,7 +122,8 @@ run = client.runs.create(
 ```typescript TypeScript
 const run = await client.runs.create({
   task: "Test the checkout flow",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   browserSettings: { proxyCountryCode: "us", record: true },
 });
 ```
diff --git a/docs/cloud/browser/proxies.mdx b/docs/cloud/browser/proxies.mdx
index 595cd84b..6383ef88 100644
--- a/docs/cloud/browser/proxies.mdx
+++ b/docs/cloud/browser/proxies.mdx
@@ -46,7 +46,8 @@ import { BrowserUse } from "browser-use-sdk/v4";
 const client = new BrowserUse();
 const run = await client.runs.create({
   task: "Get the iPhone 16 price on amazon.de",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   browserSettings: { proxyCountryCode: "de" },
 });
 ```
@@ -73,7 +74,8 @@ run = client.runs.create(
 ```typescript TypeScript
 const run = await client.runs.create({
   task: "Test my staging site",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   browserSettings: { proxyCountryCode: null },
 });
 ```
@@ -145,7 +147,8 @@ run = client.runs.create(
 ```typescript TypeScript
 const run = await client.runs.create({
   task: "Check the account dashboard",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   browserSettings: {
     proxyCountryCode: "us",
     customProxy: {
diff --git a/docs/cloud/guides/2fa.mdx b/docs/cloud/guides/2fa.mdx
index f75513da..66942695 100644
--- a/docs/cloud/guides/2fa.mdx
+++ b/docs/cloud/guides/2fa.mdx
@@ -21,7 +21,8 @@ run = client.runs.create(
 ```typescript TypeScript
 const run = await client.runs.create({
   task: "Download my latest invoice",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   browserSettings: {
     profileId: "YOUR_PROFILE_ID",
     proxyCountryCode: "us",
@@ -43,7 +44,10 @@ the code. Then continue with the same session:
 first = client.runs.create(
     "Open the login page and stop at the 2FA prompt",
 )
+ready = client.runs.wait_for_event(first.id, "browser.ready")
 client.runs.wait_for_completion(first.id)
+print(ready.data["live_view_url"])
+input("Press Enter after entering the 2FA code...")
 
 next_run = client.runs.create(
     "Continue after login and download the invoice",
@@ -53,13 +57,20 @@ next_run = client.runs.create(
 ```typescript TypeScript
 const first = await client.runs.create({
   task: "Open the login page and stop at the 2FA prompt",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
 });
+const ready = await client.runs.waitForEvent(first.id, "browser.ready");
 await client.runs.waitForCompletion(first.id);
+console.log(ready.data.live_view_url);
+await new Promise((resolve) => {
+  process.stdin.once("data", resolve);
+});
 
 const nextRun = await client.runs.create({
   task: "Continue after login and download the invoice",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   sessionId: first.sessionId,
 });
 ```
diff --git a/docs/cloud/guides/authentication.mdx b/docs/cloud/guides/authentication.mdx
index 072ac852..44bcb0b1 100644
--- a/docs/cloud/guides/authentication.mdx
+++ b/docs/cloud/guides/authentication.mdx
@@ -42,7 +42,8 @@ import { BrowserUse } from "browser-use-sdk/v4";
 const client = new BrowserUse();
 const run = await client.runs.create({
   task: "Open my account dashboard and summarize it",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   browserSettings: {
     profileId: "YOUR_PROFILE_ID",
     proxyCountryCode: "us",
diff --git a/docs/cloud/guides/profile-sync.mdx b/docs/cloud/guides/profile-sync.mdx
index dd705ad8..754cc646 100644
--- a/docs/cloud/guides/profile-sync.mdx
+++ b/docs/cloud/guides/profile-sync.mdx
@@ -29,7 +29,8 @@ import { BrowserUse } from "browser-use-sdk/v4";
 const client = new BrowserUse();
 const run = await client.runs.create({
   task: "Check my LinkedIn messages",
-  model: "grok-4.5",
+  model: "gpt-5.6-luna",
+  modelParams: { reasoning: { effort: "xhigh" } },
   browserSettings: {
     profileId: "YOUR_PROFILE_ID",
     proxyCountryCode: "us",