I also could not find TempleOS, which obviously was the first thing i searched for - anyway great collection and page's look & feel. Thank you for creating & sharing.
"Our take-home lets candidates code." - As a dev, I absolutely hate the practice of such assignments.
Every non-junior dev/coder should already have at least some indicators out there showing how they code - GitHub, a personal site or any other resources.
For juniors or CS graduates there might be bit of a grey zone, but even then, with how widely available web space is nowadays, there’s really no excuse not to have something out there if you are serious about the "love for coding".
So the sentence “we need to respect people’s time as much as our own” seems flawed to me, because you obviously don’t respect the time of the candidates who coded for nothing for you.
To me, that is also a huge red flag when considering a position.
Important should be assessing someone’s theoretical knowledge of software patterns, principles and architectures ..just getting a feel for their nerd level. Seeing how much they actually care about code and details, whether they can really express themselves and if they could communicate a problem clearly.