[CSC] Reset open in new tab button on companion close

Bug: b/284523860
Change-Id: I01421f37db1c1ecc3882d998a0bf05025179b132
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4577276


Commit-Queue: Shakti Sahu <shaktisahu@chromium.org>
Reviewed-by: Caroline Rising <corising@chromium.org>
Reviewed-by: Ali Stanfield <stanfield@google.com>
Cr-Commit-Position: refs/heads/main@{#1151898}