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This reverts commit ec18ec70.

Reason for revert: the conversion was incorrect as the new API
is not yet implemented. This probably causes regressions (sad
that no tests caught this) and spam logs (see crbug.com/909712).

Original change's description:
> Convert startup_tab_provider.cc to IdentityManager
> 
> It was using the SigninManager API to check whether the primary
> account was authenticated and an authentication was in progress. We
> can use the IdentityManager and PrimaryAccountMutator APIs to perform
> the same operations.
> 
> Bug: 890801
> Change-Id: Ia2567a567481a4d67b68eee6b714aab72c537b5a
> Reviewed-on: https://chromium-review.googlesource.com/c/1346467
> Reviewed-by: Elly Fong-Jones <ellyjones@chromium.org>
> Reviewed-by: Colin Blundell <blundell@chromium.org>
> Commit-Queue: Sergio Villar <svillar@igalia.com>
> Cr-Commit-Position: refs/heads/master@{#610389}

TBR=ellyjones@chromium.org,blundell@chromium.org,svillar@igalia.com

# Not skipping CQ checks because original CL landed > 1 day ago.

Bug: 890801
Change-Id: I8df5a79a40c503abd6dd74974a84eded8f69472a
Reviewed-on: https://chromium-review.googlesource.com/c/1353980Reviewed-by: Sylvain Defresne <sdefresne@chromium.org>
Commit-Queue: Sylvain Defresne <sdefresne@chromium.org>
Cr-Commit-Position: refs/heads/master@{#611769}