This CL fixes a data race that was found using TSAN.

Bug: v8:13012
Change-Id: Ic29620edce116effea097a9f1d58532ba93b2224
Reviewed-on: https://chromium-review.googlesource.com/c/v8/v8/+/3857424Reviewed-by: Dominik Inführ <dinfuehr@chromium.org>
Reviewed-by: Michael Lippautz <mlippautz@chromium.org>
Commit-Queue: Leon Bettscheider <bettscheider@google.com>
Cr-Commit-Position: refs/heads/main@{#82738}