Update publish.yml

Author: josh-tracey

.github/workflows/publish.yml

@@ -14,7 +14,6 @@ env:
 jobs:
   publish-crate:
     name: Publish to crates.io
-    needs: release
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v4
@@ -32,4 +31,4 @@ jobs:
       - name: Publish to crates.io
         uses: katyo/publish-crates@v2
         with:
-          registry-token: ${{ secrets.CARGO_REGISTRY_TOKEN }}
+          registry-token: ${{ secrets.CARGO_REGISTRY_TOKEN }}