Add cargo fmt check workflow (#589)

Co-authored-by: dominic <510002+dmah42@users.noreply.github.com>

Author: taniwha3

.github/workflows/000-fmt-check.yml

@@ -0,0 +1,35 @@
+# ---------------------------------------------------------------------------- #
+#                |   █████╗ ██╗   ██╗██████╗  █████╗ ███████╗ |                #
+#                |  ██╔══██╗██║   ██║██╔══██╗██╔══██╗██╔════╝ |                #
+#                |  ███████║██║   ██║██████╔╝███████║█████╗   |                #
+#                |  ██╔══██║██║   ██║██╔══██╗██╔══██║██╔══╝   |                #
+#                |  ██║  ██║╚██████╔╝██║  ██║██║  ██║███████╗ |                #
+#                |  ╚═╝  ╚═╝ ╚═════╝ ╚═╝  ╚═╝╚═╝  ╚═╝╚══════╝ |                #
+#                +--------------------------------------------+                #
+#                                                                              #
+#                         Distributed Systems Runtime                          #
+# ---------------------------------------------------------------------------- #
+# Copyright 2022 - 2024, the aurae contributors                                #
+# SPDX-License-Identifier: Apache-2.0                                          #
+# ---------------------------------------------------------------------------- #
+#
+# Ensure the codebase is formatted. Fails if `cargo fmt` would change files.
+#
+name: "(000) [ubuntu:latest] cargo fmt --check"
+
+on:
+  push:
+    branches: main
+  pull_request:
+    branches: main
+
+env:
+  CARGO_TERM_COLOR: always
+
+jobs:
+  fmt:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v3
+      - name: Check formatting
+        run: cargo fmt --all -- --check