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This CL updates the tab controls container in the tab strip to remain
fixed while the Tab Search bubble is open.

Keeping the tab controls container fixed is necessary to ensure that
the bubble does not slide around on the screen with the anchoring
button as tabs are removed from the Tab Search UI.

This CL also performs some cleanup and removes unnecessary build
flags.

Bug: 1099917
Change-Id: I28d395f4804175d3ab868d2ea4ae9e3607170571
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2377550Reviewed-by: Scott Violet <sky@chromium.org>
Commit-Queue: Thomas Lukaszewicz <tluk@chromium.org>
Cr-Commit-Position: refs/heads/master@{#802431}