Revert "Migrate rust hook to deps and create sync_deps.py"

This reverts commit 2af7751ec4e12f56a41be005e269525f324ac19e.

Reason for revert: crbug.com/342233652

Original change's description:
> Migrate rust hook to deps and create sync_deps.py
>
> After someone runs upload_revision.py, triggers the packager bots,
> and manually copies the packages to prod, they will now run
> sync_deps.py to update the DEPS file. After doing that they can
> trigger a CQ run to test the new packages.
>
> Bug: b/338612245
> Change-Id: Ie95efbf2049e651192d52ca7531c20125b3dd537
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5536220
> Reviewed-by: Hans Wennborg <hans@chromium.org>
> Commit-Queue: Josip Sokcevic <sokcevic@chromium.org>
> Cr-Commit-Position: refs/heads/main@{#1304616}

Bug: b/338612245
Change-Id: Iff76abc8eef4b9abb611bf4fa1ae32dcdef242a8
No-Presubmit: true
No-Tree-Checks: true
No-Try: true
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5560883
Bot-Commit: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
Reviewed-by: Zachary Tan <tanzachary@chromium.org>
Auto-Submit: Zachary Tan <tanzachary@chromium.org>
Reviewed-by: Josip Sokcevic <sokcevic@chromium.org>
Commit-Queue: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
Owners-Override: Zachary Tan <tanzachary@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1304692}