I think it is about 1 hour, but to be honest, I had almost these exact racing tire settings first guess, just a little camber and damper dialing. The beaut is superbly balanced with throttle oversteer, although the sport tire tune is a little more...intense, and I still couldn't pull less than 7 seconds on the racing medium tune, altogether very nice though. This car should easily outrun heavier cars on sufficiently technical courses. It did 1'15.869 at Deep Forest on racing mediums.
The car was tuned with all available modifications including frame stiffener, rims and add on wing (even though it had one). The blue numbers were set on sport softs.
brakes 3/3 10/10
springs 9.7/9.9 9.0/9.5
height 91/91 95/95
bound 6/6 5/4
rebound 7/7 6/5
camber 2.8/1.7 3.0/1.9
stabilizer 3/3
asm/o 0
asm/u 0
tcs 2
downforce 30/35
lsd 10/40/20
enjoy