[Files F2] Refine rename/focus logic for directory tree container

* `insertBefore` in the directory tree container causes the tree item
  to lose states like focus/rename, we need to restore them if needed.
* Add `renameItemWithKeyWhenRendered/focusItemWithKeyWhenRendered`
  methods for the directory tree container to handle cases where we
  want to rename/focus items which are not rendered yet.
* When a focused tree item is deleted, we need to update the focused
  item to either currently selected item or item which will become
  selected later, otherwise the focus will go back to BODY.
* Enable DirectoryTreeContextMenu browser tests with the new tree to
  test all above changes.

Bug: b:302642915
Test: browser_tests --gtest_filter="DirectoryTreeContextMenu/*"
Change-Id: If987c033fa928209e8ce3e2ec19ba7be2e661f8f
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4940461
Reviewed-by: Luciano Pacheco <lucmult@chromium.org>
Commit-Queue: Wenbo Jie <wenbojie@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1211329}