Should I let her change schools?

[Regularchoice]

I've name changed for this as I want to give all the details and really want opinions on whether we're doing the right thing.
Dd is 10, always has been very sensitive, quite a softy and rather emotional. She had particularly bad separation anxiety when younger and cried every day going into play school. The crying at drop off continued on and off through primary school.
We are in Ireland, so in the last year schools have been locked down for 2 very significant amounts of time. Through both lockdowns, she had almost no contact with class mates and she has really really struggled to settle back in. She says she didn't miss anyone, so she knows none of her classmates missed her.
She was struggling a bit anyway before, but now she basically has no friends. It's not bullying, it's just she doesn't click with any of her classmates.. The teacher asked them in June to choose a friend to sit with and no one chose her. She just sort of accepted this as her lot, but I think it's so grim, to accept this as her inevitable place in the class.
She does have one friend in the other class (same year group) and I approached the school about the possibility of moving rooms. They said no way, but would make sure "something" would be done to ensure she's happier next September. But I have no confidence in the school tbh. What can they do? They can't force the kids to be her friends? I guess they can help her with her self esteem and tell her having friends is not everything....
She is involved with out of school clubs and has girls she interacts with there, but no strong friendship developed yet.
I want to start her in a new school (relatively straight forward here) so she has a fresh start with new faces in September. Dh says no, stick it out. I simply don't know what to do.
I would really appreciate perspective from anyone who has had similar experience. I know changing is a big risk, but I really can't see things getting better for her where she is.
Sorry for the essay, thanks for reading!

The thing with your DH is presumably he was happy at his original school and therefore struggled - it isnt the same at all and I think he needs to recognise that

Resilience is a massively misunderstood concept. In work settings I've been in lacking resilience generally means "doesn't put up with sexual/racial harassment when others do".

My sister has a huge amount of resilience built on the fact that she moved from a situation like this to a school with a positive culture and where she made friends.

I also completely agree with @bumblemug

I would definitely move her.

Moving schools is a big step (I moved at around that age) and will build resilience in itself.

I would move her, hopefully it can't get worse and there's always a plan C!

If she is interacting positively and establishing conections at outside activities then i wonder if the situation with her being isolated at her current school has just become too "established" so everybody just accepts it as "the way it is". It takes a lot of energy to change such an entrenched position and if school arent on board its an enormous job for your dd on her own.
I'd lean towards a change of school

I would positively look the change of school as a good thing. She loses the baggage of her old place where she's never likely now to suddenly become popular.
I think being new at a school is an opportunity to make new friends and that's more likely to be with other kids who are willing to expand their friendship groups.
If you think both schools are good enough for the academic side of education, I would look to give her another chance to have a more rewarding social experience.

3 years, move her! She is miserable, she has had years already of feeling out of place, she wants to move, give her a fresh start.

the situation with her being isolated at her current school has just become too "established" so everybody just accepts it as "the way it is". It takes a lot of energy to change such an entrenched position
This is very much how I feel the situation is at the moment. With the best will in the world, I honestly don't know what the school could do to change the situation.
Thank you so much for all of your replies, they are so helpful. I think the answer is clear, even with the risk. And I would rather support her on the new path than keep muddling along with more of the same on the old. I just need to help dh see the light now

And yes to pps who mentioned no plan c, I definitely shouldn't have said that. I think I was panicking a bit. There's always plan c!