Add test for no auth flow

.github/workflows/no_auth.yml

@@ -0,0 +1,56 @@
+name: No Auth test
+
+on:
+  push:
+    branches:
+      - main
+
+jobs:
+  no-auth-tests:
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@main
+
+      - name: Prepare java
+        uses: actions/setup-java@v3
+        with:
+          distribution: "temurin"
+          java-version: "21"
+
+      - name: Install all the tools
+        uses: ./
+        with:
+          cli: latest
+          lein: latest
+          boot: latest
+          bb: latest
+          clj-kondo: latest
+          cljstyle: latest
+          zprint: latest
+
+          # Explicit empty string should trigger "no auth" workflow
+          # this will not set Authorisation header for any GitHub API http calls
+          github-token: ''
+
+      - name: Check Clojure CLI
+        run: clojure -Sdescribe
+
+      - name: Check leiningen version
+        run: lein version
+
+      - name: Check boot version
+        run: boot -V
+
+      - name: Check babashka version
+        run: bb --version
+
+      - name: Check clj-kondo version
+        run: clj-kondo --version
+
+      - name: Check cljstyle version
+        run: cljstyle version
+
+      - name: Check zprint version
+        run: zprint --version