PowerCLI / REST / Python actions can be created as Orchestrator workflows to provide this as a day2 action for users, on the VM object in the Automation deployment
Aria Automation won't pick up on the new NIC being added. Two possible approaches:
Adding a custom property to the VM, listing the extra NIC's network
Onboarding the VM into a new deployment
The Update Deployment option is also available but please note that the VM might be rebuilt as a result of hardware changes (see KB 383040)