https://nightlies.apache.org/flink/flink-docs-master/docs/dev/datastream/fault-tolerance/state/#broadcast-state says broadcast state is not supported in the python API but https://github.com/apache/flink/blob/master/flink-python/pyflink/datastream/data_stream.py#L602 makes me believe that it is. Is this a case of the docs being outdated or is there something more I'm not understanding?

Broadcast state is supported in Flink 1.16. The documentation is outdated. I will update it. Thanks a lot~