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Change MenuManager to use the new open and close functions
introduced in issue 1760673. This change lays the foundation
for submenus to be implemented for the Switch Access menu
in a follow-up change. See go/cros-switch-menu-redesign for
more information.

Test: With emulated Chrome OS on Linux, manually verified that
opening the menu, navigating through the menu, selecting actions
on the menu, and closing the menu worked as before.

Bug: 994256
Change-Id: Iffdfdde22de712aebec117bd37662cff315ddc70
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1761086
Commit-Queue: Sophie Yang <sophyang@google.com>
Reviewed-by: Akihiro Ota <akihiroota@chromium.org>
Reviewed-by: Anastasia Helfinstein <anastasi@google.com>
Cr-Commit-Position: refs/heads/master@{#689742}