Basque Cheesecake (1 slice)

This is hands down the best cheesecake I've ever had.
Every person I've served it to has fallen in love with it and I hope you will too! I had it for the first time when I was in San Sebastian.
It was a life-changing experience - after never having anything but New York style cheesecake, with the occasional mascarpone cheesecake, I had no idea there could be more, texturally and flavor wise.
I set out to recreate that recipe when I got home. This is closely modeled on several recipes that I've seen online.
But the part no one seems to get right is the cook time - it's fast!
You want it to be gooey and custardy in the middle and like a lightly set cake by the edge.