I’m sorry, I forgot to answer this question when I realized what the problem was. I always do a standard installation. I stay away from non-office installations.
The reason I got two separate replies in private messages was because I made the users created in discourse ai and chatbot plugins the same.
When I activate the private message support in the chatbot, since the usernames are the same, the discourse ai answers first, and then the chatbot answers.
If I make the users different, the problem will be fixed.
I have canceled the chatbot for now. At this stage, discourse ai is doing my job. It would be nice if only some features in chatbot came to discourse ai 
Example:
Answering us when we ask questions to AI while writing answers on the topics.
Sorry for taking your time, but it’s been a constructive topic for me. Thanks.