As I claimed earlier, if allowed thusters on a rigid body, I can make
it rotate around ANY point. The table edge in my example could be
replace by such a thruster.


no you cant.

an off centre force applied to a body resolves as a couple about the
cg and a force through the CG
the force through the CG pushes it along but the couple result in a
rotation about the cg.


in one of my old engineering texts the gentre of gravity is defined as
the point within a body about which all forces resolve.

the CG isnt a little sticker placed somewhere within a body. it is the
centre of the mass of the thing and it varies with the movement of
parts of that mass, be it evaporation of fuel in a carby which is
burnt and jetisoned overboard as gasses coming out the exhaust or
sweat evaporating from the brow of the pilot.

all forces resolve around the centre of gravity of the body.
it is an inherent attribute of all matter as seen through the eyes of
an engineer.

you really need to go out and fly a little aeroplane with not much
inertia. (like a tailwind) you will see that all gusts and control
inputs result in movements about the CG. it is what makes the
behaviour predictable and the damn things flyable (and the predictive
stress calculations possible)

Stealth Pilot