Philips #00 screwdriver for MacBook Pro 2013 NZ does not fit
I've seen occasional mismatches in sets for $20 in the US and certainly some really bad $10 sets in the US. Not knowing the relative prices I don't know if that's expensive for New Zealand. My gold standard is a wiha tool.


https://www.kctoolco.com/wiha-26100-00-x-40mm-precision-phillips-screwdriver/ for $5 US


I would get a good tool for the ones you'll use a lot like #00 and if you can afford it - a nice set. Another gold standard seller for me in the US is DigiKey Electronics: Here's their #00 Phillips selection

Hopefully this lets you evaluate if you got a dud blade or just a low quality set in general. If it's really not able to fit - contact your seller to get advice if you can.