You’re reading things into the NYT article that are not there. Nowhere in that article does it say there will be “At least a yearlong stalemate”.
A stalemate is possible. A negotiated peace is possible. A Ukrainian victory is possible. And a Russian victory is possible. Anything is possible, and wars are unpredictable. But I think you can work through the possibilities and see which ones are more likely than others.
The negotiated peace is not going to happen until one of the other 3 possibilities for a military outcome occurs. If one side or the other wins, they will be in a position to negotiate a favorable peace on their terms. If a prolonged stalemate occurs, the sides may choose to end active combat in some form of ceasefire. But we are a long way from that.
It seems extremely unlikely that Russia can generate enough force to win outright. They don’t have the resources, and they don’t have the will. They are not getting stronger.
I think Ukraine can win. It will take more money, equipment, ammo, etc. More aid from the US and allies. We have a lot of good reasons to want this outcome and to provide that aid, and I hope we just commit and do it as soon as possible.
And a stalemate is certainly possible, but I’d rank it as less likely than Ukraine winning outright, and more likely than Russia winning outright.