Oh, WOW, not a single reply for 9 days. That shows you the problem here: building a 24" or 20" kids mtb is a hard task, because there are hardly any components available.
I like building bikes, for me and for my kids, but when I got to 24" I ordered a Woom Off 5, copmlete. If I was insisting on building such a buy, the result may have cost more, and weighted more.
If you still want the DIY method, you can look for a carbon frame from Ali Express. Don't crucify me for this suggestion, we all understand the pros and cons of an Ali-Express adventure. It's just an option. Example:
www.aliexpress.com
As for the specific measurements: I don't think it's THAT important for a kid. He's not going to race this bike on the Great Divide, riding 200km a day. Short chain-stays are important, the good quality kids-bikes brands will have them (Woom, Spawn cycles, Early Rider)
Your next challenge, after the frame, will be the fork. Again, There are some carbon forks in Ali Express, and even some suspestion forks can be found.
Rims for the wheels will also be a challenge. It depends on the kid's weight and how much he's a "shredder". There are many factors here: weight, width, number of holes. So it might be hard to find the specific set of requirements as a seperate component.
Sometimes Spawn cycles have pre-built 24" wheels.
Anyway - good luck with the project, and post some photos when it's done.
I like building bikes, for me and for my kids, but when I got to 24" I ordered a Woom Off 5, copmlete. If I was insisting on building such a buy, the result may have cost more, and weighted more.
If you still want the DIY method, you can look for a carbon frame from Ali Express. Don't crucify me for this suggestion, we all understand the pros and cons of an Ali-Express adventure. It's just an option. Example:

390.0US $ 22% OFF|Carbon kids bike frame 24er Carbon mtb Frame UD 13.5inch mountain bike carbon frame 135*9mm max 2.3 tire mtb bicycle frames|Bicycle Frame| - AliExpress
Smarter Shopping, Better Living! Aliexpress.com
As for the specific measurements: I don't think it's THAT important for a kid. He's not going to race this bike on the Great Divide, riding 200km a day. Short chain-stays are important, the good quality kids-bikes brands will have them (Woom, Spawn cycles, Early Rider)
Your next challenge, after the frame, will be the fork. Again, There are some carbon forks in Ali Express, and even some suspestion forks can be found.
Rims for the wheels will also be a challenge. It depends on the kid's weight and how much he's a "shredder". There are many factors here: weight, width, number of holes. So it might be hard to find the specific set of requirements as a seperate component.
Sometimes Spawn cycles have pre-built 24" wheels.
Anyway - good luck with the project, and post some photos when it's done.