Honestly the clutch is plenty stout to baby it. But you have to do it without throttle. If you baby the clutch while reving up past 1500 rpms you're just burning it up
Good practice in the parking lot is to simply let off the clutch slow enough to engage 1st gear without touching the gas pedal (no throttle). This will help improve leg muscle memory, let you practice your clutch feathering, and help you learn the weird OEM clutch engagement. As you add throttle your clutch release should speed up, so you need to find the balance for your driving style. You'll find the Z is very particular and wants to be shifted differently when you drive it hard and fast vs soft and slow. Pay attention to the feedback from the car and you'll eventually find where the smooth shift point is and how to modulate the clutch engagement for each gear at various speeds. It will take patience and a lot of practice.
As others have said. Highly recommend the RJM clutch pedal. And if you haven't already done it, replace the OEM CSC with a ZSpeed CMAK or HDCSC asap.