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On devices that do not support multi-windows, iOS will still
interpret "swipe gesture" as a request from the user to close
the window and will use a new session identifier on following
startup.

To avoid losing state, there exist a workaround that load the
session using the old session identifier on those device but
the workaround was only applied to the regular tabs, thus it
was possible to lose incognito tabs in that case.

Refactor the code setting the session identifier in Browser
to be shared between regular and incognito BrowserState.

Bug: 1153606
Change-Id: I833978da3697c88d8d31ab956f91be840d1e74e7
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2622393
Commit-Queue: Sylvain Defresne <sdefresne@chromium.org>
Commit-Queue: Mohammad Refaat <mrefaat@chromium.org>
Reviewed-by: Mohammad Refaat <mrefaat@chromium.org>
Auto-Submit: Sylvain Defresne <sdefresne@chromium.org>
Cr-Commit-Position: refs/heads/master@{#842648}