My partner love keeping score

I’m open to hear your opinion on my situation.

My partner and I have been together for almost 3 years long distance. She is 6 years older than me and we’ll be moving in together in about 2 months.

So lately some of her habits have been making me more uncomfortable than usual. I’m noticing that she has a habit of keeping track/ keeping score of who paid for what and how much they paid. So that if I ask for something or ask her to pay for something she will backtrack and list off items and amounts of money that i “owe her for”. And I’m beginning to notice that I’m acting that way as well in order to kind of defend myself. So if I ask her to pay for something and she says “you pay for it because I paid for this event we went to 2 months ago” I have to throw something back at her and be like “well I paid for this date night 2 weeks ago” ... it just irritates me because I’ve never been someone who keeps track of things like this. When I love you I will help you out and buy things for you without expecting something in return. And I wish she could more like that because I think we would enjoy the act of giving to each other a lot more. I always feel like it’s a transaction and at this point I’m thinking of just telling her we should pay for our own shit. If we go out to eat, u pay for your meal and I’ll pay for mine. I don’t like her giving me money anymore because I know in her head she’s going to use it against me some other day as credit towards something else.