build: Check if crates bcan be published

Signed-off-by: Dmitry Dygalo <dmitry@dygalo.dev>

.github/workflows/ci.yml

@@ -156,8 +156,8 @@ jobs:
 
       - run: cargo fmt --all -- --check
 
-  clippy:
-    name: Clippy
+  lints-rust:
+    name: Rust lints
     runs-on: ubuntu-22.04
     steps:
       - uses: actions/checkout@v4
@@ -172,6 +172,9 @@ jobs:
 
       - run: cargo clippy --all-targets --all-features
 
+      - run: cargo publish --dry-run -p jsonschema
+      - run: cargo publish --dry-run -p jsonschema-cli
+
   features:
     name: Check features
     runs-on: ubuntu-22.04