Refactor FSM Storage methods input types to calm down MyPy. (#1683)

* Refactor methods input types to calm down MyPy.
- `FSMContext.set_data`
- `FSMContext.update_data`
- `BaseStorage.set_data`
- `BaseStorage.update_data`
- `BaseStorage`'s child methods
- `SceneWizard.set_data`
- `SceneWizard.update_data`

* Add 1683.feature.rst

* Remove re-init in `DataNotDictLikeError`

aiogram/exceptions.py

@@ -197,3 +197,9 @@ class ClientDecodeError(AiogramError):
             f"{original_type.__module__}.{original_type.__name__}: {self.original}\n"
             f"Content: {self.data}"
         )
+
+
+class DataNotDictLikeError(DetailedAiogramError):
+    """
+    Exception raised when data is not dict-like.
+    """