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The cause of the flake is not known but it may be the combination of
BrowserWithTestWindowTest and MOCK_TIME.
Some tests in that suite need BrowserWithTestWindowTest, and one test
needs MOCK_TIME. There is no test that needs both.

This CL splits the tests in two groups:
- tests that need BrowserWithTestWindowTest. They are now no longer using
  MOCK_TIME
- test that needs MOCK_TIME, now no longer using BrowserWithTestWindowTest.

Fixed: 1014790
Change-Id: I2ee2cce2b38f21c00de3d841913c7307b17b2a78
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2151590Reviewed-by: Monica Basta <msalama@chromium.org>
Commit-Queue: David Roger <droger@chromium.org>
Cr-Commit-Position: refs/heads/master@{#760015}