0.0.0.0/0, ::/0 is for full VPN mode, it means to send all IPv4 and IPv6 traffic via the tunnel.
If you put there, for example 192.168.1.0/24(assuming this is the IP schema of your home network), then it will act in a split mode. Which means only packets designated to reach your home network (192.168.1.0/24) will be routed via the tunnel.
The (official) WireGuard client can be set to split or full mode based on the routing, not based on the applications what looks like you are looking for.
Sorry, I can't suggest a solution for your use case.