You have a few options.
Use the headphone/rec out jack on the Air and feed it to an input on your interface.
Use a USB cable to record directly from the Air into the DAW (I just had to check the manual for this, and it requires installing a driver from the Boss website)
Plug the guitar direct into the interface.
The first two options will let you record the ‘wet’ signal, which means the effects are applied.
The last option records the ‘dry’ signal, which means the raw signal direct from the guitar.
The benefit of recording the dry signal, is you can then experiment with applying effects in the DAW, but the drawback is you probably won’t be able to precisely replicate the same effects that the Air can apply.
Personally to begin with, I’d keep it simple, plug the guitar straight into the interface, and record the dry signal.
Once you’re happy doing that, then look to build on that knowledge and record via the amp.
Edit - If you’d like a quick getting started guide for Live, I posted one a few weeks ago - Which daw? Guitar, vocals, possibly keyboards - #3 by mc