revert: use cachix/install-nix-action

.github/workflows/release.yml

@@ -11,18 +11,12 @@ concurrency: ${{ github.workflow }}-${{ github.ref }}
 jobs:
   nix-check:
     runs-on: ubuntu-latest
-    permissions:
-      id-token: "write"
-      contents: "read"
     steps:
-      - uses: actions/checkout@v4
-      - uses: DeterminateSystems/nix-installer-action@main
-      - uses: DeterminateSystems/magic-nix-cache-action@main
-        with:
-          use-flakehub: false
-      - uses: DeterminateSystems/flake-checker-action@main
-      - name: Run `nix flake check`
-        run: nix flake check
+    - uses: actions/checkout@v5
+    - uses: cachix/install-nix-action@v31
+      with:
+        github_access_token: ${{ secrets.GITHUB_TOKEN }}
+    - run: nix flake check
 
   release:
     name: Release