Update root_path access to new starlette behaviour

This behaviour was introduced in v0.33 via PR #2352:
https://github.com/encode/starlette/pull/2352/files

connexion/middleware/routing.py

@@ -35,8 +35,12 @@ async def __call__(self, scope: Scope, receive: Receive, send: Send) -> None:
             scope.get("path_params", {})
         )
 
-        api_base_path = scope.get("root_path", "")[
-            len(original_scope.get("root_path", "")) :
+        api_base_path = scope.get("route_root_path", scope.get("root_path", ""))[
+            len(
+                original_scope.get(
+                    "route_root_path", original_scope.get("root_path", "")
+                )
+            ) :
         ]
 
         extensions = original_scope.setdefault("extensions", {})

connexion/middleware/swagger_ui.py

@@ -59,7 +59,9 @@ def _base_path_for_prefix(self, request: StarletteRequest) -> str:
         """
         returns a modified basePath which includes the incoming root_path.
         """
-        return request.scope.get("root_path", "").rstrip("/")
+        return request.scope.get(
+            "route_root_path", request.scope.get("root_path", "")
+        ).rstrip("/")
 
     def _spec_for_prefix(self, request):
         """

pyproject.toml

@@ -53,7 +53,7 @@ Jinja2 = ">= 3.0.0"
 python-multipart = ">= 0.0.5"
 PyYAML = ">= 5.1"
 requests = ">= 2.27"
-starlette = ">= 0.27, <0.33"
+starlette = ">= 0.27"
 typing-extensions = ">= 4"
 werkzeug = ">= 2.2.1"