How often do you see them and what is "normal"?

Please comment. Need help.

So I will start off with divorced for a few years now. Had 3 kids with the ex.

I am with a new girlfriend now, and have 1 kid with her.

Court granted 50/50 custody.

But between the new baby and always x,y,z reasons(work etc) I am in a constant struggle between things. I feel like I am stretched too thin. Not wanting to give up my girlfriend, not wanting to give up my kids. I feel like I cannot win.

Its now been chipped away to every other weekend and tuesdays. But one of the tuesdays i work so i only see them 2 hours then bedtime.

But now ex wants to take away tuesdays. Current girlfriend is all for this because she wants me with her, wants her own family with me.

I guess my question is, is every other weekend normal? Current gf says most guys do this. It kills me to not see them for that long of a stretch. It doesmt mean i don't love my girlfriend just feel like I am in a impossible situation of lose my love, my partner who I have a new baby with, or see my kids more often.

If every other weekend is absolutely normal...maybe I would feel better. I just don't want to become just some guy in their life. I am their dad.