AIBU to refuse to do a PCR test on 3 year old with no symptoms for nursery

[Annoyedandirritated]

Nursery keep having to close due to Covid, it’s a small nursery so staff are generally in contact with all the separate rooms.

They have emailed saying all kids/babies need PCR tests before returning and we need to email the results to the nursery manager.

My little one has now been off nursery for 2 weeks and is due to return on Monday.

I’m happy to do lateral flow tests as I can do them
When she’s sleeping, but aibu to refuse to do a PCR on an asymptomatic baby which will be traumatic for her? Can they legally enforce this?

For those saying you cant get a pcr with no symptoms....

It's been compulsory in schools here for any returning close contact after their 10 days isolation. I've done it 7 times now with my dc

The school advised that you tick asked to by the council/local authority.

No issues whatsoever

Traumatic? It's only a swab not a lobotomy