Add ci check for parity-publish and fix current check issues (#1887)

Co-authored-by: Sergejs Kostjucenko <85877331+sergejparity@users.noreply.github.com>
Co-authored-by: Bastian Köcher <info@kchr.de>

.github/workflows/check-publish.yml

@@ -0,0 +1,28 @@
+name: Check publish
+
+on:
+  push:
+    branches:
+      - master
+  pull_request:
+    types: [opened, synchronize, reopened, ready_for_review]
+
+jobs:
+  check-publish:
+    strategy:
+      matrix:
+        os: ["ubuntu-latest"]
+    runs-on: ${{ matrix.os }}
+    steps:
+      - uses: actions/checkout@8ade135a41bc03ea155e62e844d188df1ea18608 # v4.1.0
+
+      - name: Rust Cache
+        uses: Swatinem/rust-cache@3cf7f8cc28d1b4e7d01e3783be10a97d55d483c8 # v2.7.1
+        with:
+          cache-on-failure: true
+
+      - name: install parity-publish
+        run: cargo install parity-publish --profile dev
+
+      - name: parity-publish check
+        run: parity-publish check --allow-unpublished