Reland "[GM2 Cleanup] focus_ring_browsertest.cc"

This reverts commit b55671cec040770c9abd46509819bec1bc5dac0b.

Reason for revert: fix test failures

Original change's description:
> Revert "[GM2 Cleanup] focus_ring_browsertest.cc"
>
> This reverts commit dd23f21581b3e90179d96233746eb236515766b5.
>
> Reason for revert: Likely culprit for recent failures: https://ci.chromium.org/ui/p/chrome/builders/ci/win-rel-ready/24968/overview
>
> Original change's description:
> > [GM2 Cleanup] focus_ring_browsertest.cc
> >
> > #chrome-refresh-2023-cleanup
> >
> > Bug: 40064433
> > Change-Id: Ibb525f357c632edc7f7521ab3ea17c7d48a6bcb8
> > Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5604667
> > Reviewed-by: Greg Thompson <grt@chromium.org>
> > Commit-Queue: Dana Fried <dfried@chromium.org>
> > Auto-Submit: Dana Fried <dfried@chromium.org>
> > Cr-Commit-Position: refs/heads/main@{#1312002}
>
> Bug: 40064433
> Change-Id: Iad5cc14462ede54257c380ca7bc148d7eeec86ce
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5605547
> Owners-Override: Igor Ruvinov <igorruvinov@chromium.org>
> Bot-Commit: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
> Commit-Queue: Igor Ruvinov <igorruvinov@chromium.org>
> Cr-Commit-Position: refs/heads/main@{#1312088}

Bug: 40064433
Change-Id: Ieb12f9b0afe05cb7df8373ad5b314bd6a72b5d47
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5608442
Reviewed-by: Greg Thompson <grt@chromium.org>
Commit-Queue: Dana Fried <dfried@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1312887}