Nginx proxy_pass from *.local.domain.com to *.domain.com

You can try this one:

map $host $non_local_host {
    ~^(.*\.)?local\.domain\.com    "${1}domain.com";
}

server {
    listen 80;
    listen [::]:443 ssl;
    listen 443 ssl;
    
    # ssl config here

    server_name .local.domain.com;

    location / {
        proxy_pass $scheme://127.0.0.1/;
        proxy_set_header Host $non_local_host;
        proxy_redirect http://$non_local_host/ http://$host/;
        proxy_redirect https://$non_local_host/ https://$host/;
    }
}

The .local.domain.com server name will match local.domain.com and any of it’s subdomains.

If your site make use of cookies, you may also need a proxy_cookie_domain directive:

proxy_cookie_domain $non_local_host $host;