Fix UI asset compilation in Airflow package (apache#46339)

PR apache#45928 started building it, but it wasn't in the final wheel/sdist :)

hatch_build.py

@@ -594,7 +594,7 @@ def clean(self, directory: str, versions: Iterable[str]) -> None:
         commands = [
             ["rm -rf airflow/www/static/dist"],
             ["rm -rf airflow/www/node_modules"],
-            ["rm -rf airflow/ui/static/dist"],
+            ["rm -rf airflow/ui/dist"],
             ["rm -rf airflow/ui/node_modules"],
         ]
         for cmd in commands:
@@ -613,7 +613,7 @@ def build_standard(self, directory: str, artifacts: Any, **build_data: Any) -> s
         ]
         for cmd in commands:
             run(cmd, cwd=work_dir.as_posix(), check=True, shell=True)
-        dist_path = work_dir / "airflow" / "ui" / "static" / "dist"
+        dist_path = work_dir / "airflow" / "ui" / "dist"
         return dist_path.resolve().as_posix()
 
     def get_git_version(self) -> str:

pyproject.toml

@@ -180,6 +180,7 @@ exclude = [
 ]
 artifacts = [
     "/airflow/www/static/dist/",
+    "/airflow/ui/dist/",
     "/airflow/git_version",
     "/generated/",
 ]
@@ -190,6 +191,7 @@ include = [
 ]
 artifacts = [
     "/airflow/www/static/dist/",
+    "/airflow/ui/dist/",
     "/airflow/git_version"
 ]