google analytics – Maintenance of UTM tracking on redirects

I hope someone can help me with a UTM redirection request! In short:

I'm trying to find a way to instantly redirect people from one page of my main domain to a subdomain while still retaining the original UTM tracking.

Thus, they would visit www.example.com?utm_source=test and then be instantly redirected to www.new.example.com?utm_source=test and the tracking would remain intact.

Is there a way to configure a redirection guaranteeing that the UTM is not deleted?

I've been trying to understand this for a long time, but I can not find a solution!

Thank you very much to all those who have ideas!
Ben