TabSearch: Add icon dependency

Follow-up to crrev.com/c/5587969

Bug: 341328415
Change-Id: I66fcec9e67ea5afbdd6599e5142d1ef2e40c1584
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5616224


Auto-Submit: Emily Shack <emshack@chromium.org>
Reviewed-by: Demetrios Papadopoulos <dpapad@chromium.org>
Commit-Queue: Emily Shack <emshack@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1312956}