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crrev.com/c/2296420 recently introduced some heuristics that use the
notion of when bookmarks were sync-ed for the last time. In such patch,
the persistence of this time was overlooked, fixed here.

Change-Id: I9eb5046e1dcae1affb99fe2fc732678c7d922dce
Bug: 1032052
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2306033
Commit-Queue: Mikel Astiz <mastiz@chromium.org>
Auto-Submit: Mikel Astiz <mastiz@chromium.org>
Reviewed-by: Marc Treib <treib@chromium.org>
Cr-Commit-Position: refs/heads/master@{#789880}