Hi,
If the airlayer is spoken for, remove the figs as they will slow the airlayer.
If you would have started it later, there was less problem.
Now it is still early, so I would focus on roots.
You could of course harvest the figs first - in July or August - and then remove the airlayer ... But, you'll have to remove the maincrop figs that will form by then ...
So either way, you're going to remove figlets ...
If you wait till end of the season, the airlayer will get root bound and when removed, it will be in shock with roots that probably won't be able to support the top growth.
Good luck, whatever you choose to do !