Hey there,
I figured out how to do it, so I'm responding hoping that it will help someone else in the future.
Based on
this list of configuration files, I managed to find the configuration key for private subnets, which is "vpn.server.routing.private_network.N", where N is a number starting from 0 and increments for multiple definitions.
So to add a private subnet to the list of configurations, do something along the lines of
./sacli --key "vpn.server.routing.private_network.N" --value "<cidr block>" ConfigPut
replacing N and <cidr block> with the appropriate values.
Make sure to restart the server afterwards with
./sacli start
P.S. In case you don't know, sacli is the command line utility provided by OpenVPN and is usually located in /usr/local/openvpn_as/scripts/sacli, though this might differ slightly based on the version or OS you're using.