Alby on Nostr: So you can have lightning address if you go to "Connections" in your Hub and link ...

So you can have lightning address if you go to "Connections" in your Hub and link your Alby Account.

Then you can "tell" to Nostr network what is your lightning address so you could receive zaps. It's in your profile info.
You can't connect Primal address to Alby wallet and vice versa.

In the Extension you can put your Nostr private key to use Nostr on desktop, you can also connect the same wallet in the Extension to your Hub, so you can also use lightning network.

Let us know if that helps!