[TSLO] Update MultiInstanceManagerApi31 to use
DesktopWindowStateProvider

This CL removes the boolean desktop window mode supplier used by
MultiInstanceManager and injects a DesktopWindowStateProvider supplier
instead, since the latter is instantiated after MultiInstanceManager
on startup.

Bug: 325351108
Change-Id: Ibe3c7cbb66cc0a31459d705e86ca69313d99b63a
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5503037
Reviewed-by: Wenyu Fu <wenyufu@chromium.org>
Commit-Queue: Aishwarya Rajesh <aishwaryarj@google.com>
Cr-Commit-Position: refs/heads/main@{#1295063}