How to setup routed nic inside fedora 33 container?

You manage to get routed to work without a LXD profile with Debian, Devuan and CentOS? When you use routed, you need to touch a bit the networking configuration of the container so that works fine once it boots up. Because with routed, the container does not receive any network configuration over DHCP.

See the discussion here for some examples, Domain resolution in Debian 10 container with routed NIC