You don't need to weld to imitate that build.
You will need a drill and some way to cut metal.
At its heart it's just an L
rocket stove.
It's different from most 5 gallon
bucket stoves because it's contained in a bigger, taller cylinder.
To imitate that build we need an L rocket, a heat deflector, a cooking chamber, a grill surface and a lid with a chimney to cover it.
I would use a 55 gallon barrel, or a junked electric
water heater, stripped of insulation.
We could cut off the top and cut a 4" hole near one edge.
A 4' piece of 4" duct could slide into that.
If we arranged three "L" brackets roughly equidistant around the duct and zip screw them to the lid, we could use a hoseclamp to hold the duct to the brackets.
This would be our height adjustable chimney.
For the L rocket we could cut a 6" hole 4-8" up from the base of the cylinder.
Filling the cylinder with lava rock up to the bottom edge of the 6" hole, we construct an L from 6" stove pipe and slip the horizontal portion thru the hole.
Make the vertical leg of the L half as high as your cylinder, the horizontal 2x3rds as long as the cylinder is wide.
Center the L in the cylinder and secure it in place by placing lava rock all the way up to the the top of the L.
Cut a 6" wide piece of sheet metal, 6" shorter than the horizontal arm of the L for your fuel shelf.
We will need to add supports for a grill surface.
I would use 4 pieces steel adjustable shelf track and assorted brackets.
Thru bolt the track with long 1/4" bolts, and you can use the extra length sticking out of the cylinder as handles.
I would buy an off the shelf round grill from a big box, to go on the shelf brackets.
A flat chunk of rock, brick, or metal
should go over the exhaust of the
rocket stove, as a heat deflector/acumulator plate.
If we get something at least 8" wide we can space it up over the exhausts with three bricks sitting on the surface of the lava rock.