Is it okay???!!!

My ex apologizes about his mistakes in the past and wants to make things right with me. I give him a chance but is it okay to give him a chance while he is living with another girl on his apartment??? I am in another state right now. And this is the girl he is living right now is the girl "he chose over me before and they fuck". He said now that the girl needs a place to stay while looking for a job and gonna pay him half of the rent, but it is okay to consider them sleeping the same bed everynight and believed that nothings really happened? I don't know, I already open this to him that I am not comfortable and try to understand, I asked him if something happened again between them and he said "I don't want to answer that".

UPDATE:

I message him saying " You know what? get lost!!! keep that girl and enjoy fucking her. I had enough of your sh*t!!"

(The girl he live with, knows that I exist and she doesn't care).

He replied: