Revert "updater: AppCommands now use base::GetAppOutputWithExitCodeAndTimeout"

This reverts commit e731affb71a178853b958c996eb58ceb1c59a4e6.

Reason for revert: Causing stack-use-after-return (e.g. https://ci.chromium.org/ui/p/chromium/builders/ci/win-asan/37293/test-results)

Original change's description:
> updater: AppCommands now use base::GetAppOutputWithExitCodeAndTimeout
>
> This is in preparation for `IAppCommandWeb.get_output()`.
>
> Bug: 447457292
> Change-Id: I2d8d43037c4a6572ffe9e95cb1297a99b87f8e9b
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7019261
> Auto-Submit: S Ganesh <ganesh@chromium.org>
> Reviewed-by: Joshua Pawlicki <waffles@chromium.org>
> Commit-Queue: Joshua Pawlicki <waffles@chromium.org>
> Cr-Commit-Position: refs/heads/main@{#1527126}

Bug: 447457292
No-Presubmit: true
No-Tree-Checks: true
No-Try: true
Change-Id: I3e7d9a2c1e0388b54f6c56e0635d83f9a233197c
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7024129
Owners-Override: Kenichi Ishibashi <bashi@chromium.org>
Bot-Commit: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
Auto-Submit: Kenichi Ishibashi <bashi@chromium.org>
Commit-Queue: Rubber Stamper <rubber-stamper@appspot.gserviceaccount.com>
Cr-Commit-Position: refs/heads/main@{#1527234}