If you have to give a full term's notice anyway, then you can wait till the end of this term before you decide. That's one month from now.
In the meantime, you could try the following:
Let your dd have a week off, no nursery. When she begs not to go, say, OK you don't have to go this week.
When it's her scheduled afternoon to go, give her the option. Say, if you go you'll have fun, but if you don't go, you'll have to stay home with Mummy and I'll be too busy to play with you. Then on that scheduled afternoon be deliberately boring (not neglectful or cruel obvs, just boring), ie get on with looking after baby, housework, etc and refuse to play. Keep reminding her how much fun she'd be having if she went instead.
I've had to do this with my dd: I have one morning where I WFH and she's sometimes refused to go to nursery as she's realised I WFH. I carried on WFH as if she wasn't there, only attending to physical needs, and she realised she'd be better off going from now on! Then when she did consent to go, I acted like a Supermum when I picked her up, love bombed her with games and songs and cuddles, so she knew she'd always be rewarded if she went willingly.
It sounds manipulative but I had to do it if I want to keep my job lol