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Since LSS has been sandboxed and clients are using new sandboxed LSS, we
need to clean up the code. This CL cleans the unused sync code.

Design doc: go/lss-sandboxing
Implementation plan: go/lss-sandboxing-impl

Bug: 1137560
Change-Id: If8347e621b0169ff15062deb7a8953c1c76bf6f8
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2594747Reviewed-by: Jia Meng <jiameng@chromium.org>
Reviewed-by: Sam McNally <sammc@chromium.org>
Reviewed-by: Colin Blundell <blundell@chromium.org>
Commit-Queue: Thanh Nguyen <thanhdng@chromium.org>
Cr-Commit-Position: refs/heads/master@{#838583}