],
) -> tuple[
    dict[tuple[ModelField, Literal["validation", "serialization"]], JsonSchemaValue],
    dict[str, Any],
]:
    old_name_to_new_name_map = {}
    for field_key, schema in field_mapping.items():
        model = field_key[0].type_
        if model not in model_name_map or "$ref" not in schema:
            continue
        new_name = model_name_map[model]
        old_name = schema["$ref"].split("/")[-1]