Use the nix command (and flakes) in the CI

Apart from a slight simplification and a bit of dogfooding, this also
make the cache behavior more predictable.
For example `nix build .` and `nix build nix/$(git rev-parse HEAD)` will
yield the exact same path, while their “intuitive” non-flake equivalents
(`nix-build` and
`nix-build https://github.com/nixos/nix/archives/$(git rev-parse HEAD).tar.gz`)
don’t.

This was a pain for example in https://github.com/NixOS/nix/pull/5059

Also, the `bar-with-logs` log format is imho nicer (even in an
non-interactive context) because prefixing each log line with the name
of the derivation that produced it makes it much easier to follow what’s
going on.

.github/workflows/ci.yml

@@ -25,7 +25,7 @@ jobs:
         name: '${{ env.CACHIX_NAME }}'
         signingKey: '${{ secrets.CACHIX_SIGNING_KEY }}'
         authToken: '${{ secrets.CACHIX_AUTH_TOKEN }}'
-    - run: nix-build -A checks.$(nix-instantiate --eval -E '(builtins.currentSystem)')
+    - run: nix --experimental-features 'nix-command flakes' flake check -L
 
   check_cachix:
     name: Cachix secret present for installer tests
@@ -95,7 +95,7 @@ jobs:
         name: '${{ env.CACHIX_NAME }}'
         signingKey: '${{ secrets.CACHIX_SIGNING_KEY }}'
         authToken: '${{ secrets.CACHIX_AUTH_TOKEN }}'
-    - run: nix-build -A checks.$(nix-instantiate --eval -E 'builtins.currentSystem' --json).dockerImage
+    - run: nix --experimental-features 'nix-command flakes' build .#dockerImage -L
     - run: docker load -i ./result/image.tar.gz
     - run: docker tag nix:$NIX_VERSION nixos/nix:$NIX_VERSION
     - run: docker tag nix:$NIX_VERSION nixos/nix:master