Hello fellow FTers

I have recently booked a 'Vagoini Letto Deluxe' for on the InterCity Notte · 35738 travelling from Naples to Pisa. I understand there is a bathroom (I assume WC) in the cabin for our exclusive use; any ideas on where we can take a shower in Pisa? We arrive in Pisa at 05:58 and then leave for a flight home at 9pm the same day - a shower after the train would certainly be appreciated.

Many thanks!