you can do it with open ai api. example my system knows me inside out , health and more.
with chatgpt your sessions are not linked. I think there is a beta going on with some users where they allow the ai to look back. with chatgpt you can also give it a role and instructions which you can include your name for personalizations.
for ai systems that do not allow personal data or names you have to get really creative with what I call ai madlibs. Where you are constructing information with information to become your final outputs. this is less dynamic.
wordsmithing is another way to get what you want. if you are really good at language you can craft up some pretty interesting ways to get what you want. this is not something I can teach you as its a percase instance.
Also understand that not all Ai systems are as open. I found openai lets me do more than example anthropic, meta and others. Well Musks Gork on the other hand allows almost anything haha. there is also HF models that allow for anything. but understand there is a cost for smarts in trade for going to other models. I have tested a lot so depending on what your application is some do not perform as well as others.