Im not sure..😞

So my fiance an I moved in together about 4 weeks ago fast forward we have been together for almost 5 years she has raised my kids one who is now 11 an the little one will be five they love her any way for the last 2in a half years she has cheated on me with the same girl I found out that they were still messing around.. now I love her an I wanna be with her but this girl is still posting and saying that they are together now the only time we are not together is when we are both working I drop her off and pick her up from work only because we have one car(mine) I get off work b4 she does an go home cook clean and everything like that.. mind u this girl said to me she was going to do everything that she could for is not to be together... my question is what would you do? No negative comments please