Revert "Introduce `run_crossbench_tests` script in the build rules."

This reverts commit 7f855d6a2c87a4f6598d1a7086191146e6649ceb.

Reason for revert: Causes linux-presubmit errors that are not caught on upload

Original change's description:
> Introduce `run_crossbench_tests` script in the build rules.
>
> Bug: 404324355
> Change-Id: Icb39682ed7889e65999f4e5033fba041899b006d
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6360673
> Commit-Queue: Farid (Mojtaba) Faridzad <faridzad@google.com>
> Reviewed-by: John Chen <johnchen@chromium.org>
> Cr-Commit-Position: refs/heads/main@{#1434115}

Bug: 404324355
No-Presubmit: true
No-Tree-Checks: true
No-Try: true
Change-Id: I5e9944d66303d5519b34771da66cd287dab29571
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6366947
Bot-Commit: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
Commit-Queue: Liza Burakova <liza@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1434211}