He didn't just cheat on you.
He has treated everything about you with complete contempt and utter disrespect.
He didn't care that you went to bed sleeping in sheets they had fucked in.
He doesn't care that you have to face her every day on the school run.
He doesn't think he loves you but doesn't know if he loves her or not.
He doesn't care that he has destroyed your friendship with her forever.
He doesn't care that he has damaged his DD's friendship due to his actions.
Even now is treating you like a fucking mug 'just wanting to meet her to see' when he is telling her he has split with you because he loves her.
He couldn't even last a few days when he should be trying to make everything right without still being in contact with her he was straight back in there.
The only thing he cares about is that his cushy life has been affected.
You will be fine without him.
Also please consider an STI test. You don't really know now where either of them has been.