What's your setup right now?
A single wg interface/config on your phone, with two peers, one for home wg and one for remote vpn, with AllowedIPs on the home peer as 10.10.0.0/24 and AllowedIPs on the remote vpn peer as 0.0.0.0/24?
Have you tried excluding the cidr of your home wg from the AllowedIPs of the remote vpn? Like not having 0.0.0.0/24, but one or more entries that end up excluding local cidrs.