What happens if you for eg. sit down and draw together for a bit, then you leave her with three sheets to colour in whilst you do some work yourself, and a promise that you will come back to do the fourth with her?
Lots of “when you have done x, we can do y” type things. When you have sorted the edges from the middle, I will come and do the puzzle with you. When you have sorted the Lego into colours, I will come and build a rainbow. When you have picked up five things from your bedroom floor, I will come and help you put the rest away.
Is she managing at school? If so then she can work independently, even if she doesn’t think she can. Or does she just sit in a corner all day?
If she wants to sit on the sofa for an hour staring at the wall, put some things beside her and leave her to it. Don’t ignore her completely for an hour, obviously, but sit beside her, start doing something together, then get up and let her know you’ll help her again when she’s coloured in the sky/joined the dots/sorted the colours out. And just keep reminding her you’re looking forwards to doing the next bit together but it’s her job to do that bit now.
Playground and playing alone/needing you - we have a stomp rocket. It’s great! I set it up beside the bench and sit on the bench. My “I neeeeeeed you” child gets to sit beside me, we load the rocket onto the pole together, take it in turns to stomp, and then she has to go and fetch the rocket and bring it back.
Exercise for her, sitting time for you, and she’s doing more of it herself.
Not quite the weather for it but washing windows together is good for my sanity too. One of us stands outside and one inside and the window is firmly shut. Then we wash it together, cleaning the same pane at the same time. But I can’t hear her! Can smile and can be playful but no conversation, which definitely helps me breathe a bit.