Local DNS lookups fail with WARP to remote network

I have a tunnel setup with Zero Trust, and cloudflared is running on a PC in an office network. I also have the WARP client running on a remote PC that needs access to the office. The WARP client authenticates with Zero Trust successfully, and I can Remote Desktop to IP addresses in the office.

However, when the client tries to Remote Desktop to the name of a PC in the office (i.e. PC123) the DNS lookup fails. It appears that it’s not using the DNS server in the office. How can I configure the WARP client to use the office DNS when it’s connected to the office?

Bonus problem: when the client tries to ping a PC in the office, either by name or by numeric IP, it fails.

Thanks for any clues,
Russell