Flutter Inspector not visible in Android Studio embedded browser, but works in external browser — Is it only showing in browser now?

## Environment

- **Flutter version**: Flutter 3.47.2 • channel stable • https://github.com/flutter/flutter.git
Framework • revision d3b14c8769 (3 weeks ago) • 2026-08-26 16:07:51 -0700
Engine • hash 1cf1c4773fb941c4c74a7f8bb144a8837596c0f4 (revision a804b26164) (18 days ago) • 2026-08-26 18:46:13.000Z
Tools • Dart 3.13.2 • DevTools 2.60.0

- **DevTools version**: 2.60.0 - release notes
- **Android Studio version**: Android Studio Quail 3 | 2026.1.3 Patch 1
- **OS**: Windows 10

## Description

The **Flutter Inspector** tab is not visible/available when opening DevTools inside **Android Studio's embedded browser**. However, when opening the same DevTools instance in an **external browser** (e.g., Chrome/Edge), the Flutter Inspector tab is present and works correctly.

All other DevTools tabs (Performance, Memory, Network, Logging, etc.) are visible and functional in the Android Studio embedded browser — only the Inspector tab is missing.

## Steps to Reproduce

1. Open a Flutter project in Android Studio
2. Run the app in **Debug mode** (click the Debug button)
3. Open DevTools from within Android Studio (via the DevTools tool window)
4. Observe that the **Flutter Inspector** tab is missing
5. Copy the DevTools URL from the terminal output (e.g., `http://127.0.0.1:xxxx`)
6. Open the URL in an external browser (Chrome/Edge)
7. Observe that the **Flutter Inspector** tab is present and working

## Expected Behavior

The Flutter Inspector tab should be visible and functional in Android Studio's embedded browser, just like it is in the external browser.

## Actual Behavior

The Flutter Inspector tab is completely missing from the DevTools panel when viewed inside Android Studio's embedded browser. Other tabs (Performance, Memory, Network, etc.) are all present and working fine.

## Screenshots

## Workaround

Open DevTools in an external browser by clicking the **"Open in browser"** button in the DevTools panel, or by copying the DevTools URL from the terminal and pasting it into Chrome/Edge.

Reproduce the issue from the DevTools tool window in Android Studio, then compare it with the same DevTools URL in an external browser. Trace why the Flutter Inspector tab is absent in the embedded browser; done means the tab is visible and functional there without affecting the other tabs.

Written by the indexing model from the issue text.