An ergonomic chair fits within most workspaces much like a typical office chair. Only enough space for sitting, swiveling, as well as leaning back comfortably is needed inside a room.
Some reclining plus a little side-to-side movement needs a clear space near your chair. Most of the chairs do work best when they are in front of any surface. A desk or table lets arms rest naturally upon that surface.
You are good to go, if your back is supported by the chair, your elbows are level with the desk, and you have enough room for you to sit with your feet flat on the floor. Your chair's fit matters more than your ergonomic space's size for your body.
Thus, special flooring or a dedicated space are unnecessary. The use of an ergonomic chair is still a possibility. A functional and small setup is more than just enough.