Coming back to life after cheating my partner

I have written previously about how I cheated on my live in girlfriend about five months ago and it broke both of us. We separated and I had been distraught ever since. Therapy every week, workout every day, eating home cooked meals every day, writing about each day, putting all my energy into myself ever since. However, last week I felt a severe pang of loneliness and I got on the dating apps. I went on five dates in a week! Realised I was stretching myself too thin and decided to now go for only those where I felt some connection. At one such date, I met a girl and we spent the entire night walking on the beach and talking. This girl made me realise I can feel again. She is out of town for a couple of weeks and I am already craving her company. I spoke to my therapist about whether this is me repeating my pattern or should I stop thinking and see where this takes me. I want to ask others who have been there about what they feel. I do not think I have a chance with my ex and know that even if we got together, things will never be as innocent and loving like earlier. We have been strictly no contact for the past two months and assuming we will not get in touch unless we have recovered from this completely. I feel so much guilt about whether she is doing similar things or whether she will be able to do it in the longest time. At the same time, I feel excited about this new girl. I don’t know what to do. My head is in a whirlwind. Of course, once we meet again, I intend to tell her all about my previous relationship and what all happened. Please help.