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This CL finishes preparing the V4 database code for the upcoming split
of Safe Browsing NetworkContexts by profile. It starts using the
browser-wide network contexts for all requests, and removes cookies from
the V4UpdateProtocolManager.

Bug: 1049833
Change-Id: I3f1c9819846ed35497a8c0d3ec32a8254c92fa0c
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2365296
Commit-Queue: Daniel Rubery <drubery@chromium.org>
Reviewed-by: Varun Khaneja <vakh@chromium.org>
Cr-Commit-Position: refs/heads/master@{#800323}