Finally
Here is the mini viewed at the engine door (open) with muffler and extra counter weight (if equiped) removed.
Only the rear section of the belt housing can be openned. The rear pump will stay attached to the housing. The length of the pump will only allow the housing to move a small amount.
All tension must be removed from the idler/adjuster pully so that the belt will have slack. It has a set bolt that needs to be loosened. Remove the belt from the front pully first. The inboard side of the belt housing, at the front section, is open. This allows the belt to be removed and replaced by slipping it over the pully towards the center of the machine. Then slip the belt through the gap between the rear pully and the pump gear. It's just enough of a gap to get the belt out, and in, if you twist it sideways so that the thinnest profile will slip between the pump drive gear and the rear pully. When assembled the pump gear slips inside the center of the rear pully.
The belt is a "powerband" type so each pully has several splines/groves that mate up with the inside of the belt. Be sure to put it on the front pully correctly. If not the belt will be too tight to get the tension indicator to line up correctly. The belt should be pulled over, the rear pully, top first (opposite what the photo shows). The belt is very tight, when new, and will require "bumping" the engine to get the belt over the back pully. Insert a 3/4" x 2.5" x 10UNC bolt and set the belt tension. This whole is on the bottom of the house (directly below the tensioning pully). The tensioner indicator is shwon here on this label (affixed to the machine in the door jam).
Be sure to tighten the set bolt for the idler pully. Remove the adjusting bolt (the 3/4" x 2.5" bolt). Replace the muffler and the extra counterweight (if equipped). Run the machine for a bit and recheck the belt tension (the indicator). Adjust as required.