You'll also need to store it in a way that does not release the wood's CO2 back to the atmosphere by biodegradation.
https://www.youtube.com/watch?v=e5XsqauBCX4
There are many other wood-based buildings higher than that being planned. The key for most of them is the use of various hybrid wood-laminates.
Good point, although you need to be sure you aren't counting the wood you replace it with as more carbon storage. Every wooden house essentially provides a fixed amount of carbon storage, no matter how much of it is replaced, and only as long as it stands.