Greetings. I created a website on hosting, linked a domain to it, and after that, created a subdomain in the zone of my main domain using infinityfree tools.
Example:
site on example.com domain, subdomain play.example.com.
Next, I connected Cloudflare DNS, and in it I specified other NS for my subdomain.
Example with Cloudflare DNS:
example.com connects to the IP address of the site from hosting, and 2 other NS servers are prescribed for the subdomain.