The first thing I have to mention is about safety and liability.
It is a code violation to have a solid fuel heater in a garage. Imagine your tiller (I think that is a tiller) fuel line pops off and fuel pours out on the floor. Gasoline fumes travel along the floor to the stove and you get a kaboom. There goes your garage. Hopefully, that is all that goes. Your insurance company will not cover that loss. You can choose to accept that risk, just please be aware of it and be especially careful with oil and gasoline.
I would use 36" and forget the 32" in the 2nd All Nighter manual. 36" means horizontal lines from the stove and diagonal lines from the stove in all directions.
The cabinet behind your stove location gives a good example. You must keep single wall stove pipe at least 18" from combustibles in all directions, but you must also maintain 36" from the stove body to all combustibles, including the freezer in the back of the picture.
The 36" from the stove is to anything combustible. Once you get your stove in position, take a 36" yard stick and try to touch the stove and anything else with it at the same time. If you can do it, you need to move the stove or add heat shield. Heat shield is easy to add and might save you some floor space. It needs to be metal (24 gauge if I remember correctly) or cement board (or similar) spaced off the wall studs with 1" non-combustible spacers. There must be at least 1" space between the bottom of the shielding and the garage floor. You cannot have any heat shield fasteners directly behind the stove. That is, you must have them at a level below the stove body or above the stove body. With a heat shield, the minimum spacing drops to 12".
Additionally, the 36 or 18 inches is to anything combustible. So, if you had cement board directly attached to wood, the spacing would be to the wood behind the cement board, not the cement board itself. If you have a heat shield, the spacing would be 12" from the stove body to the combustibles behind the heat shield.
How tall will your chimney be and what is the altitude where the stove will be installed? The All Nighter will not be too fussy about draft, so the two 45s may not be an issue. Think about pipe cleaning, though. I have two 45s in my home setup and it would be a pain to clean if I had to take the stove pipe apart every year to clean it. If you connect to the All Nighter with a cleanout Tee at the stove collar, you may be able to take the cleanout cap off the bottom of the Tee and clean from the bottom up through both 45s using something like a Sooteater.
How do you plan to penetrate the roof? Will you have class A insulated chimney through the roof sitting on a support box, and then attach your stove pipe to the chimney at the support box?
The floor looks to be wood. You will need to have this stove sitting on a hearth to protect the floor from the stove heat. The underside of an All Nighter, in my experience, does not get too hot at all, but the stove sides radiate a lot of heat. In my old install on a wood floor, I made a hearth pad with metal studs, cement board, and topped it with sheet metal. The hearth pad did not get hot at all, but the wood floor beside the hearth pad could get hot to the touch. As in, I could not leave my hand resting on it. Quite hot, really.
You can see the stove manual shows a non-combustible stove mat with dimensions. I used those dimensions but spaced it off the floor with metal studs. Maybe I did not need the air gap under it, but I would do more than just put down a layer of cement board.
If you Google NFPA 211 you can probably find an older version of the code. That will give you all the details.