Update issue-triage.yml

Closes #60073

GitOrigin-RevId: 66e5046
Change-Id: Ib86d43840cb7fbbe46abcf12966af4d92fde9ad3
Reviewed-on: https://dart-review.googlesource.com/c/sdk/+/408420
Commit-Queue: Alexander Thomas <[email protected]>
Reviewed-by: Alexander Thomas <[email protected]>

Author: devoncarew

.github/workflows/issue-triage.yml

@@ -19,7 +19,14 @@ permissions:
 jobs:
   triage_issues:
     runs-on: ubuntu-latest
+
+    # Don't fail the workflow if there's an error below (for example, if we
+    # have problems modifying an issue's labels) as that would send a failure
+    # email to the user who created the issue.
+    continue-on-error: true
+
     if: ${{ github.repository_owner == 'dart-lang' }}
+
     steps:
       - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683
         with: