CEX to cash app lightening network

I have some BTC on an exchange that I want to make available to use on lightening cashapp. Since I can't withdraw from the exchange using the lightening network (yet), and can't use kraken I'm my state, I guess I have to withdraw to my BTC network cash app address. Do I then have to do an intrawallet transaction from BTC to lightening address to use it (2 transactions), or is it available on both networks once it is in cash app? Surprisingly can't find the answer anywhere, and I want to know if I am looking at 1 transaction or 2 with fees so high rn.