Every situation the room can throw, and the one press that handles it. Client doors first, referral doors after.
Client paths · no code involved
A · Quiet room · hand the tablet
One interested client. Open the landing and pass the tablet over: they press Book, the form reveals, they submit. The reset link hands it to the next person.
The walk-in names the friend who sent them. Type the friend's email: the register returns their code if they own one, or assigns a fresh one. Then pick the room you're in.
Either way the walk-in's form arrives with the CODE seated, and the friend becomes tomorrow's invitation.
D · No email? No problem
The referral door closes gently and the client door opens: they join Path A or B above as a new client. Nobody is turned away, and no code is ever guessed.