Add clang-format check GitHub Action workflow

.github/workflows/clang-format-check.yml

@@ -0,0 +1,17 @@
+name: C Coding Style Check
+
+# Runs on pushes to pull request
+on: pull_request
+
+jobs:
+  # Build job
+  clang-format-style-check:
+    name: C Coding Style Check (clang-format check)
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout Repository
+        uses: actions/checkout@v4
+        with:
+          submodules: 'true'
+      - name: Run formatting check
+        uses: waterloo-rocketry/actions/clang-format-check@clang-format-check