[declutter] Delay the archive pass for local group sync to occur

Add a delay when including tab groups for the archive pass run at
startup to allow the local sync db to synchronize with the sync server
before running group archival logic.

Bug: 409336825, 410035913
Change-Id: I23c9e7d8011276c31ec180dd073e2cdfaaa2ba42
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6437705
Commit-Queue: Brandon Fong <bjfong@google.com>
Reviewed-by: Calder Kitagawa <ckitagawa@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1446030}