How to set dns search to all warp users

we have cloudflared installed on a server that has VPN connected with Cloudflare Zero Trust. I have a policy all any users access my network from warp VPN. Everything works fine. all users can manage to access all servers from my network, also we are using Local domain fallback to resolve internal DNS using basically for subdomain xxx.example.com resolve on server x.x.x.x (My DNS server).

all internal names could be resolved from warp VPN but for all names, we must add the fqdn, for example:

we have a server called infra.example.com if we try to connect using the full hostname infra.example.com works fine but if we try just connect using infra only doesn’t working.

Would like to know if is it possible to leave ‘search’ configured automatically and when the users connect warp vpn? it just add to you like this:

search example.com their machines.