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More tests will be added in future CLs.

Also extracts TestLogListenerSafe for reuse and adds support for
starting WebEngine for tests without redirecting logging as required for
the new test to work.

Bug: 1051533,1133984
Change-Id: I709dcecc82c5c4b5648c2c25a3bbf64dc7090cf4
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2440980
Commit-Queue: David Dorwin <ddorwin@chromium.org>
Reviewed-by: Sergey Ulanov <sergeyu@chromium.org>
Reviewed-by: Wez <wez@chromium.org>
Cr-Commit-Position: refs/heads/master@{#814421}