[deps]: Update actions/stale action to v10 (#16427)

Co-authored-by: renovate[bot] <29139614+renovate[bot]@users.noreply.github.com>
Co-authored-by: Derek Nance <dnance@bitwarden.com>

.github/workflows/stale-bot.yml

@@ -15,7 +15,7 @@ jobs:
       pull-requests: write
     steps:
       - name: 'Run stale action'
-        uses: actions/stale@5bef64f19d7facfb25b37b414482c7164d639639 # v9.1.0
+        uses: actions/stale@5f858e3efba33a5ca4407a664cc011ad407f2008 # v10.1.0
         with:
           stale-issue-label: 'needs-reply'
           stale-pr-label: 'needs-changes'