Add Brave CDP automation, replace Oracle browser mode

Connects to user's running Brave via Chrome DevTools Protocol
to automate ChatGPT interaction. Uses puppeteer-core to open a
tab, send the prompt, wait for response, and extract the result.

No cookies, no separate profiles, no copy/paste. Just connects
to the browser where the user is already logged in.

One-time setup: relaunch Brave with --remote-debugging-port=9222

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

node_modules/devtools-protocol/pdl/domains/HeadlessExperimental.pdl

@@ -0,0 +1,56 @@
+# Copyright 2017 The Chromium Authors
+# Use of this source code is governed by a BSD-style license that can be
+# found in the LICENSE file.
+#
+# Contributing to Chrome DevTools Protocol: https://goo.gle/devtools-contribution-guide-cdp
+
+# This domain provides experimental commands only supported in headless mode.
+experimental domain HeadlessExperimental
+  depends on Page
+  depends on Runtime
+
+  # Encoding options for a screenshot.
+  type ScreenshotParams extends object
+    properties
+      # Image compression format (defaults to png).
+      optional enum format
+        jpeg
+        png
+        webp
+      # Compression quality from range [0..100] (jpeg and webp only).
+      optional integer quality
+      # Optimize image encoding for speed, not for resulting size (defaults to false)
+      optional boolean optimizeForSpeed
+
+  # Sends a BeginFrame to the target and returns when the frame was completed. Optionally captures a
+  # screenshot from the resulting frame. Requires that the target was created with enabled
+  # BeginFrameControl. Designed for use with --run-all-compositor-stages-before-draw, see also
+  # https://goo.gle/chrome-headless-rendering for more background.
+  command beginFrame
+    parameters
+      # Timestamp of this BeginFrame in Renderer TimeTicks (milliseconds of uptime). If not set,
+      # the current time will be used.
+      optional number frameTimeTicks
+      # The interval between BeginFrames that is reported to the compositor, in milliseconds.
+      # Defaults to a 60 frames/second interval, i.e. about 16.666 milliseconds.
+      optional number interval
+      # Whether updates should not be committed and drawn onto the display. False by default. If
+      # true, only side effects of the BeginFrame will be run, such as layout and animations, but
+      # any visual updates may not be visible on the display or in screenshots.
+      optional boolean noDisplayUpdates
+      # If set, a screenshot of the frame will be captured and returned in the response. Otherwise,
+      # no screenshot will be captured. Note that capturing a screenshot can fail, for example,
+      # during renderer initialization. In such a case, no screenshot data will be returned.
+      optional ScreenshotParams screenshot
+    returns
+      # Whether the BeginFrame resulted in damage and, thus, a new frame was committed to the
+      # display. Reported for diagnostic uses, may be removed in the future.
+      boolean hasDamage
+      # Base64-encoded image data of the screenshot, if one was requested and successfully taken.
+      optional binary screenshotData
+
+  # Disables headless events for the target.
+  deprecated command disable
+
+  # Enables headless events for the target.
+  deprecated command enable