arc: Fix possible reading after DTOR in InputOverlay

as described

BUG=1350386
TEST=CQ

Change-Id: I8140e1dbd0b5343363423d2a5860a89723930694
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4049133


Commit-Queue: Yury Khmel <khmel@chromium.org>
Reviewed-by: David Jacobo <djacobo@chromium.org>
Auto-Submit: Yury Khmel <khmel@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1076496}