What would you guys do if this were you?

So my bf and I have been saying how we could see us having a future together. Well the one day I woke up and he was checking this girl out on messenger for like 4-5 mins called him out when I noticed what he was doing. said “ she was an old co-worker and she has really bad low self esteem”. I called him out for checking her out and going To react to her photo. Said he didn’t find her statice. Well today I kept pushing to find out the truth and he said that he found her attractive but he’s saying he wants a future with me and all this crap. Asked if he wanted her to message him and want it to go further he said no. What would you guys do if you were me in this situation?