hats: Reset profile on destruction

To fix dangling ptr.

Bug: b:294448044
Change-Id: I3824d167ba377beb080ce0c4074a40abb5e16790
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5595711


Commit-Queue: Eriko Kurimoto <elkurin@chromium.org>
Reviewed-by: Jack Shira <jackshira@google.com>
Cr-Commit-Position: refs/heads/main@{#1312627}