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This patch propagates cached sync status from SyngEngineImpl to the
SyncService. Also a new method to notify about changing in backed off
data types set was introduced.

These changes allow to turn off data types if they are in Backed off
state. This is done for SharingMessage data type in this patch.

Bug: 1058773
Change-Id: I34c9b12e8e9a50f3c8530ad3ff1c6ec6a34492c8
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2093225
Commit-Queue: Rushan Suleymanov <rushans@google.com>
Reviewed-by: Marc Treib <treib@chromium.org>
Reviewed-by: vitaliii <vitaliii@chromium.org>
Reviewed-by: Michael van Ouwerkerk <mvanouwerkerk@chromium.org>
Cr-Commit-Position: refs/heads/master@{#748767}