Persist copy UI from remote devices

Flag: CLIPBOARD_REMOTE_BEHAVIOR (1701)
Bug: 246808749
Test: manual (sent copies back and forth with the extra forced
to true, verified that behavior changed iff the flag was on)
atest ClipboardOverlayControllerTest, atest ClipboardOverlayUtilsTest

Change-Id: Ib68ec1ee9d7af5cc0ea97b20b8db9bad28dc8998