[sync] Include DataType is in crash dumps when gathering contributions

There are some hang reports during shutdown, but the current dumps do
not provide enough information to determine which datatype is to blame,
which may be relevant to identify the underlying issue.

Change-Id: I460b8ceef9b93e79d03b6ecd816908ab1915c7aa
Bug: 362615980
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5912693
Reviewed-by: Victor Vianna <victorvianna@google.com>
Commit-Queue: Mikel Astiz <mastiz@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1365007}