We were doing this for synchronous compiles, but not for asynchronous
ones.

Bug: v8:7700
Change-Id: I10173ddc34bd8750051272c0ec065e21bbd20082
Reviewed-on: https://chromium-review.googlesource.com/c/v8/v8/+/3581767
Commit-Queue: Leszek Swirski <leszeks@chromium.org>
Reviewed-by: Victor Gomes <victorgomes@chromium.org>
Commit-Queue: Victor Gomes <victorgomes@chromium.org>
Cr-Commit-Position: refs/heads/main@{#79925}