Cloudflare Warp/Zero trust and ControlD compatibility? Eta on update to scheduler?

I’m reaching out to find out if it’s possible to make ControlD and Cloudflare Warp compatible, specifically to run both simultaneously on an Android device. Since there’s no estimated update for ControlD’s scheduler, I’m currently relying on Tech Lockdown/Cloudflare Warp to manage traffic on my computers due to their flexible scheduling system. I’d like to set up a similar configuration on Android.

Desired setup:
Private DNS hostname: ControlD

VPN: Cloudflare Warp Agent.

I guess they cannot handle DNS queries at the same time.