Don't trigger publishing on self-modification

Closes #250

GitOrigin-RevId: 1951df8
Change-Id: I17a941fe3f9f22264d5e35f208a1be42a0183cbb
Reviewed-on: https://dart-review.googlesource.com/c/dart-docker/+/453261
Commit-Queue: Alexander Thomas <[email protected]>
Reviewed-by: Ivan Inozemtsev <[email protected]>

Author: athomas

.github/workflows/publish-library.yml

@@ -4,7 +4,6 @@ on:
   push:
     branches: [main]
     paths:
-      - '.github/workflows/publish-library.yml'
       - 'beta/**'
       - 'stable/**'