Next steps: Move general code from V8FileLogger to Logger

Bug: v8:12795, chromium:1316443
Change-Id: I66e0d7d3908a2a24cd1cf3858834bd57314754b9
Reviewed-on: https://chromium-review.googlesource.com/c/v8/v8/+/3637795
Commit-Queue: Camillo Bruni <cbruni@chromium.org>
Reviewed-by: Andreas Haas <ahaas@chromium.org>
Reviewed-by: Toon Verwaest <verwaest@chromium.org>
Cr-Commit-Position: refs/heads/main@{#80537}