How to make a publication in a group through a bot containing an image and an inline button using the python-telegram-bot library?

Question

Python

The essence of the bot: picture + description, below them - an inline button with a pop-up comment.
using chat_data[query.message.id] = comment we managed to attach a comment to a specific message with a picture. When adding new pictures and buttons, everything works as it should within the bot.
When publishing this post in a group, the button apparently becomes unresponsive. Most likely, because the popup comment is tied to a specific chat_id and mes_id, which change after publication.
There is a chat_id migration function, but I did not quite understand how to use it.
Tell me, can there be an easier way to transfer pictures and buttons to a group? Maybe the logic is wrong in the first place?