Steps to Reproduce

1. Implement the refresh_user_data/refresh_chat_data/refresh_bot_data method of BasePersistence class.
   2.Save something to user_data/chat_data/bot_data

Expected behaviour

refresh_user_data/refresh_chat_data/refresh_bot_data should be called strictly after the data is updated.

Actual behaviour

refresh_user_data/refresh_chat_data/refresh_bot_data can override actual data

Operating System

Linux

Version of Python, python-telegram-bot & dependencies

python-telegram-bot 20.1
Bot API 6.5
Python 3.10.9 (main, Dec 19 2022, 17:35:49) [GCC 12.2.0]

Relevant log output

No response

Additional Context

No response