Yeah sorry... Trying to keep up with everything. I'll get the docs updated by tomorrow!

You send a NIP-98 authenticated request to the server's claim endpoint. The server will respond with your eCash proofs. You can then spend those proofs at the mint to pay an invoice (simply said, withdraw to LN).

You can play around with the reference implementation on https://app.cashu-address.com using NIP-07. If you look at the network tab, its pretty obvious what is happening behind the scenes.