I'm sorry to hear that you are still having trouble.
This might sound a little strange but another Bug Sur user was successful installing AIR and JuiceboxBuilder by using an older version of Adobe AIR. In the user's case, it was Adobe AIR v20.0.
Unfortunately, at the moment, the only two versions of Adobe AIR that can de downloaded from Adobe's own website are v32.0.0.125 (from the links in my post above) and v32.0.0.144 (from the Adobe Labs site). (All previous versions have been removed.)
If you have not yet tried v32.0.0.144, then you might like to give it a try.
Here's the direct download link for Mac: https://fpdownload.macromedia.com/pub/l … obeAIR.dmg
If you'd like to try Adobe AIR v20.0, then you might need to hunt around the internet to find it but if you do find it on any website other than Adobe's own, then please download and install it at your own risk.
I can only recommend downloading Adobe AIR from Adobe's own website.
Don't forget about the 'com.apple.quarantine' fix: https://www.juicebox.net/support/juiceb … /#catalina
The good news is that Harman do plan to release an up-to-date AIR runtime (hopefully within the next fortnight).
Here's another quote from Andrew Frost on this web page:
Currently just trying to sort out the legal pieces needed for this, we have installers pretty much ready although facing a few issues still on Big Sur.
Big Sur seems to be the thing that is holding them back at the moment but the fact that they mention Big Sur at all seems to imply that their AIR runtime will be compatible with Big Sur.
I hope that they are able to release their AIR runtime sooner rather than later and that it installs smoothly on all platforms.