Disable flaky AutoPictureInPictureTabHelperBrowserTest.PromptResultRecorded_VideoConferencingAllowOnce (#34338)

This Chromium test has a 10.9% upstream flake rate (111,249 verdicts in
LUCI Analysis). The crash is in upstream code (AutoPipSettingView::
OnButtonPressed) due to a race condition between PostTask-deferred
ShowBubble() and the test accessing the view before the posted task
runs. No Brave modifications exist for this code path.

Resolves brave/brave-browser#53186

Co-authored-by: Brian R. Bondy <netzen@gmail.com>

Author: netzenbot

test/filters/browser_tests.filter

@@ -1622,6 +1622,7 @@
 -All/SoftNavigationTest.LayoutShift/*
 -AutoPictureInPictureTabHelperBrowserTest.CachedBoundsIgnoredWhenPermissionPromtIsVisible
 -AutoPictureInPictureTabHelperBrowserTest.ImmediatelyClosesAutopipIfTabIsAlreadyFocused
+-AutoPictureInPictureTabHelperBrowserTest.PromptResultRecorded_VideoConferencingAllowOnce
 -AutoPictureInPictureTabHelperBrowserTest.OverlaySettingViewIsShownForDocumentPip
 -AutoPictureInPictureTabHelperBrowserTest.RespectsAutoPictureInPictureContentSetting
 -AutoPictureInPictureTabHelperBrowserTest.ShowsMostRecentlyHiddenTab