fix(app): preserve composer caret after requests (#36503)

packages/app/src/pages/session.tsx

@@ -58,6 +58,8 @@ import { useSync } from "@/context/sync"
 import { useTabs } from "@/context/tabs"
 import { TerminalProvider, useTerminal } from "@/context/terminal"
 import { PromptInput } from "@/components/prompt-input"
+import { setCursorPosition } from "@/components/prompt-input/editor-dom"
+import { promptLength } from "@/components/prompt-input/history"
 import { type FollowupDraft, sendFollowupDraft } from "@/components/prompt-input/submit"
 import {
   createPromptInputController,
@@ -1054,7 +1056,10 @@ export default function Page() {
 
     if (event.key.length === 1 && event.key !== "Unidentified" && !(event.ctrlKey || event.metaKey)) {
       if (composer.blocked() || isChildSession()) return
-      inputRef?.focus()
+      const input = inputRef
+      if (!input) return
+      input.focus()
+      setCursorPosition(input, prompt.cursor() ?? promptLength(prompt.current()))
     }
   }