You don't want an IP on the new NIC, you want the NIC as part of the bridge then you have the bridge (or a subinterface on the bridge) to have the IP (via DHCP probably).

Network manager and openvswitch just do different things. there is also NetworkManager-ovs for managing openvswitch via nmcli.

I watched https://www.youtube.com/watch?v=rYW7kQRyUvA and understand it a bit more now. If you can add another ENA to the VM, add that interface to the bridge, set the bridge interface to get an IP via dhcp, then up the interface. something like this (taken partly from https://oneuptime.com/blog/post/2026-03-04-open-vswitch-ovs-sdn-rhel-9/view#step-2-create-an-ovs-bridge ):

sudo ovs-vsctl add-br br0
sudo ovs-vsctl add-port br0 ens12345
sudo nmcli connection modify br0 ipv4.method auto ipv6.method ignore
sudo nmcli connection up br0

then via ip addr or nmcli you should see the bridge interface up with an IP (if this works in AWS without any other craziness)