Update dcc-backend-common dependency to remove fastapi extra and adjust related entries in pyproject.toml and uv.lock

Author: YanickSchraner

pyproject.toml

@@ -21,7 +21,7 @@ classifiers = [
 dependencies = [
     "audioop-lts; python_version >= '3.13'",
     "cachetools>=6.2.4",
-    "dcc-backend-common[fastapi]>=0.0.2",
+    "dcc-backend-common>=0.0.2",
     "dependency-injector>=4.48.3",
     "fastapi[standard]>=0.128.0",
     "pydantic-ai>=1.43.0",