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This CL updates the Tab Search keyboard shortcut to use the same code
path as the TabSearchButton.

This is necessary to ensure that the button is triggered correctly
when the UI is invoked and prevents multiple instances of the UI from
being created per browser window.

Bug: 1099917
Change-Id: I3f31b0c6ba1620ca77a2197bd71a1241b904bb36
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2387199Reviewed-by: Scott Violet <sky@chromium.org>
Commit-Queue: Thomas Lukaszewicz <tluk@chromium.org>
Cr-Commit-Position: refs/heads/master@{#803599}