Remove static Profile access from TranslateBridge.

In call sites where the Profile was already available or was
accessible with minimal modifications, this passed in that Profile.
For cases where that wasn't possible, this uses getLastUsedRegularProfile
and will need to be addressed in a followup.

Bug: 40254448
Change-Id: Iaaa23fd906a65992ac0367a9dabaaa44a7edcd05
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5410664


Commit-Queue: Ted Choc <tedchoc@chromium.org>
Reviewed-by: Basia Zimirska <basiaz@google.com>
Cr-Commit-Position: refs/heads/main@{#1280928}