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This reverts commit 68ea97aa.

Reason for revert: Speculative; suspected root cause of Deterministic Fuchsia failures.

BUG=1044617e

Original change's description:
> Move ManifestUpdateManager and ManifestUpdateTask into web_application:common
> 
> ManifestUpdateManager and ManifestUpdateTask are not used outside of
> web_applications and are not isolated components, they should live one
> level up while maintaining independence from the BMO/Extension backend.
> 
> This CL is in preparation to add a dependency from
> ManifestUpdateManager to SystemWebAppManager.
> 
> Bug: 1035242
> Change-Id: I3a5e8e691079619e5b063ac90653dcae6ee3f76f
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1973441
> Auto-Submit: Alan Cutter <alancutter@chromium.org>
> Commit-Queue: Alexey Baskakov <loyso@chromium.org>
> Reviewed-by: Alexey Baskakov <loyso@chromium.org>
> Cr-Commit-Position: refs/heads/master@{#733898}

TBR=alancutter@chromium.org,loyso@chromium.org

Change-Id: Ie1a4f075a6515b85effd5c853b82d7daeb2aa7b9
No-Presubmit: true
No-Tree-Checks: true
No-Try: true
Bug: 1035242
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2014922Reviewed-by: Olga Sharonova <olka@chromium.org>
Commit-Queue: Olga Sharonova <olka@chromium.org>
Cr-Commit-Position: refs/heads/master@{#734033}