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This CL removes some Android-only logic that avoided downloading the
account info when the account info was invalid. This ensures that the
account info is correctly updated when the user signs in to Chrome.

This CL also fixes a subtle bug that lead to the avatar image not being
downloaded on start-up if the previous attempt to download the avatar
image failed.

Bug: 1135958
Change-Id: Ia31993f969aac2fc6b7c6f1ed325eb012ad33dd0
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2461310
Commit-Queue: Mihai Sardarescu <msarda@chromium.org>
Reviewed-by: Alice Wang <aliceywang@chromium.org>
Cr-Commit-Position: refs/heads/master@{#815632}