ci: add workflow for building packages

Since changes such as introducing a top-level Makefile
can cause a failure during building packages, we will extend
our CI to test that we can successfully build packages
after introducing some changes in the future.

.github/workflows/pkg.yml

@@ -0,0 +1,56 @@
+name: Build packages
+
+on:
+  push:
+    branches: [ master ]
+  pull_request:
+    branches: [ master ]
+
+env:
+  CARGO_TERM_COLORS: always
+
+jobs:
+  build-rpm-pkgs:
+    name: Build rpm packages
+    runs-on: ubuntu-latest
+    container:
+      image: fedora:latest
+      options: --privileged
+      volumes:
+        - /var/lib/containers:/var/lib/containers
+
+    strategy:
+      matrix:
+        dist-version: [rocky-9-x86_64, fedora-40-x86_64]
+      fail-fast: false
+
+    steps:
+      # See: https://github.com/actions/checkout/issues/363
+      # An issue related to GH actions containers
+      - name: Install git and update safe directory
+        run: |
+          dnf update -y
+          dnf install -y git
+          git config --global --add safe.directory "$GITHUB_WORKSPACE"
+
+      - name: Checkout
+        uses: actions/checkout@v4
+
+      - name: Build rpm package for ${{ matrix.dist-version }}
+        run: ./dist/redhat/build_rpm.sh --target ${{ matrix.dist-version }}
+
+  build-deb-pkgs:
+    name: Build deb packages
+    runs-on: ubuntu-latest
+
+    strategy:
+      matrix:
+        dist-version: [jammy, noble]
+      fail-fast: false
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+
+      - name: Build deb package for ${{ matrix.dist-version }}
+        run: ./dist/debian/build_deb.sh --target ${{ matrix.dist-version }}