Thanks for reaching out to the Apple Support Communities, giana177!
It sounds like you're having an issue using the GamePigeon app within Messages. First, I recommend checking out this article with steps for How to force an app to close on your iPhone, iPad, or iPod touch and quit the Messages app. Once it’s closed, Restart your iPhone and test to see if the issues are still going on.
If you still have an issue after doing those steps, check out this article to Use iMessage apps on your iPhone, iPad, and iPod touch and delete GamePigeon, then reinstall it and see if the issue is still going on.
Let me know the results and have a super day!