Coliving does not have a hyphen.
You can read more about the reasoning 👉 in this blogpost.
If you are too lazy to read it, here are three main reasons:
1. Most coliving operators (> 80%) do not use it.
2. There is no hyphen in "coworking" or "cohousing".
3. It's faster to type it without a hyphen.
PS: Wikipedia doesn't use it either, but that doesn't mean much.
PPS: @Associated Press, please let us know when you changed your stylebook!