Ordered stove now what do i do with the walls?

CapeCoaler wrote:You can also have a stove mounted heat shield.

You don't even have to have this heat shield attached to the stove. Just placed a few inches behind the stove on a couple of bricks to get it up off the ground. I did with with my last stove (The TLC is already jacketed) & it stays very cool behind the heat shield. (air is a very poor conductor of heat)

If your "stone" is non-combustible. The distance is going to be 9+1+thickness of the stone. Sheetmetal will get you 10 inches.

A properly constructed wall shield may be used to
change an unprotected wall to a protected wall, allowing
the clearances given in the right half of the Clearance
Chart.
Wall shields should be
constructed of 24 gauge
or heavier sheetmetal,
1/2” noncombustible insulation
board, or common
brick laid on flat (3¹⁄₂" side
down).

CapeCoaler wrote:A properly constructed wall shield may be used to
change an unprotected wall to a protected wall,

Don't know if those figures are from code someplace but I would just add to make sure you raise the shield off the ground a few inches or so to allow for air circulation in front of it.

Quoted from the VC manual for his stove, which the inspector will use for setback compliance. The PDF has some nice diagrams and goes into more detail on how to build the shields with proper air gaps. The ashpan acts as a bottom heatshield with plenty of air gap. You still need a properly built hearth.
As always RTFM!