Wow, I don’t know how you do it but yes leave the phone alone now, it’s just pure torture for you.
Looks like you are happy enough to accept he has you and her and you can live your life that way as long as he comes home to you. ( makes me wonder if he leaves his phone around for you to read it... that way both you and his gf accept his double life ) 🤔
It does sound like he loves you both and he’s comfortable, very comfortable living with the best of both worlds.
The only thing I urge you to do is tuck away a little bit of cash just in case your world comes crashing down one day out of the blue. Just enough to set you and the kids up on your own into another place where you can breathe.