chore(ci): Leverage reusable workflows

.github/workflows/rust.yml

@@ -1,28 +1,20 @@
 name: Rust
 
-on:
-  push:
-    branches: [ "master" ]
-  pull_request:
-    branches: [ "master" ]
-
-env:
-  CARGO_TERM_COLOR: always
+on: [push, pull_request]
 
 jobs:
-  build:
+  check_n_test:
+    name: cargo check & test
+    uses: noir-lang/.github/.github/workflows/rust-test.yml@main
 
-    runs-on: ubuntu-latest
+  clippy:
+    name: cargo clippy
+    uses: noir-lang/.github/.github/workflows/rust-clippy.yml@main
+
+  format:
+    name: cargo fmt
+    uses: noir-lang/.github/.github/workflows/rust-format.yml@main
 
-    steps:
-    - uses: actions/checkout@v3
-    - name: Build
-      run: cargo build --verbose
-    - name: Clippy
-      run: cargo clippy --verbose
-    - name: Run tests
-      run: cargo test --verbose
-
   spellcheck:
     runs-on: ubuntu-latest
     steps:
@@ -31,5 +23,5 @@ jobs:
         with:
           files: |
             **/*.{md,rs}
-          incremental_files_only : true # Run this action on files which have changed in PR
+          incremental_files_only: true # Run this action on files which have changed in PR
           strict: false # Do not fail, if a spelling mistake is found (This can be annoying for contributors)