[Android] Don't dismiss messages due to leak dialogs

Not dismissing the message seems to only temporarily hide the saving
prompt while the leak warning is shown.

This works for the cases of:
- saving a new password
- updating an existing password from a leaked one
- updating an existing password to a leaked one

This is a temporary fix for the problem that the "Update/Save password dialog" never re-appears after showing the leak warning.

Screencast:
https://drive.google.com/file/d/1rUmn7xmy7DstolTQlIyYmy2RTLBCJZ6e/view?resourcekey=0-8wAZF4LHkQwag07mcRWc4A

Bug: 1322787
Change-Id: If77f455ba7e262d279218ffd493fe3609479448b
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/3645270
Commit-Queue: Vasilii Sukhanov <vasilii@chromium.org>
Auto-Submit: Friedrich Horschig <fhorschig@chromium.org>
Reviewed-by: Vasilii Sukhanov <vasilii@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1003060}