Put functional tests in tests/functional

I think it is bad for these reasons when `tests/` contains a mix of
functional and integration tests

 - Concepts is harder to understand, the documentation makes a good
   unit vs functional vs integration distinction, but when the
   integration tests are just two subdirs within `tests/` this is not
   clear.

 - Source filtering in the `flake.nix` is more complex. We need to
   filter out some of the dirs from `tests/`, rather than simply pick
   the dirs we want and take all of them. This is a good sign the
   structure of what we are trying to do is not matching the structure
   of the files.

With this change we have a clean:
```shell-session
$ git show 'HEAD:tests'
tree HEAD:tests

functional/
installer/
nixos/
```

(cherry picked from commit 68c81c7375)

tests/functional/fmt.sh

@@ -0,0 +1,33 @@
+source common.sh
+
+clearStore
+rm -rf $TEST_HOME/.cache $TEST_HOME/.config $TEST_HOME/.local
+
+cp ./simple.nix ./simple.builder.sh ./fmt.simple.sh ./config.nix $TEST_HOME
+
+cd $TEST_HOME
+
+nix fmt --help | grep "Format"
+
+cat << EOF > flake.nix
+{
+  outputs = _: {
+    formatter.$system =
+      with import ./config.nix;
+      mkDerivation {
+        name = "formatter";
+        buildCommand = ''
+          mkdir -p \$out/bin
+          echo "#! ${shell}" > \$out/bin/formatter
+          cat \${./fmt.simple.sh} >> \$out/bin/formatter
+          chmod +x \$out/bin/formatter
+        '';
+      };
+  };
+}
+EOF
+nix fmt ./file ./folder | grep 'Formatting: ./file ./folder'
+nix flake check
+nix flake show | grep -P "package 'formatter'"
+
+clearStore