Hi,
Once you configure the adapter with an IP address, the cluster will automatically see the adapter and add it as a cluster network. If you want cluster to be able to use the network for its own communications (i.e. heartbeats), then you can leave it as-is. However, if you don't want cluster to use the adapter, you can change it so cluster does not use the network. You can do this by using the command below to set the role of the network.
(Get-ClusterNetwork "NAME_OF_CLUSTER_NETWORK").Role = 0
The roles associated with the network are as follows:
0 = None 1 = Cluster 3 = ClusterAndClient
To get the adapter to be used for backup traffic, you will need to configure a static route for traffic to the destination network to use the new local adapter. You do NOT want to configure another default gateway on this adapter as default gateways apply globally.
Creating a switch-embedded team (SET) is optional. If you do go this route, simply apply the actions above to the virtual NIC (vNIC) which you create from the SET switch.
Also optional, if the new backup adapters support RDMA, you may want to disable it. While it is doubtful the backup traffic would use RDMA, the cluster may try to. Disabling RDMA on these adapters would make them less preferred which could help avoid storage connections from being attempted over these adapters.
Hope this helps!