I’m 34M, and I dated a 36F for about three months. Both in the US, I'm brown and she is white.

She is a friend of a friend. We never discussed exclusivity, and she told me privately we weren’t officially a couple, though she introduced me as her boyfriend. She said “I love you” and stayed at my place for about a month while I paid for expensive dinners, concerts, and outings.

At a club, another woman asked to kiss her, and she nodded yes before I could react. She later blamed me when it didn’t go further. I broke up with her, then we got back together and took a week-long trip. She never apologized. When I asked for real commitment, she said she needed 3 to 6 months.

I’ve now found out that before our first breakup, she was sending nudes to another guy. By then she had been saying she loved me for almost 3 weeks. She has kept saying she loves me since we reunited. She is really nice at times, but also really mean other times. I can't shake the feeling that she is only using me for paying her things that she enjoys.

Is this a relationship that can work out? How should I handle this?

First pic is us visiting Central Park early in our boyfriend/girlfriend relationship while the second pic is us married and visiting San Francisco