I passed this one after a few tries (without cutting the chicane), and I think the key is good braking technique. If you select Pro mode at the outset, hopefully you're going to get a feel for independent braking, and this challenge is one of those places you'll need it.
You've got a left-right chicane followed immediately by a left-hand hairpin:
1) Enter the intial left-hander balls out,
2) apply the front brake only as you turn through the right-hander, then
3) stomp on the back brake as you stand the bike up to approach the left-hand hairpin.
Holding off on using the back brake until you clear the right-hander means you can get through the chicane quickly without sliding the back end.