Unless ordering assassinations and launching a coup are "core constitutional powers" of the president, then no the ruling does not give him immunity for that.
As a practical matter, if the president is ordering the military to do those things and the military is obeying those orders, we are far beyond the point where concepts like legal immunity matter.
As a practical matter, if the president is ordering the military to do those things and the military is obeying those orders, we are far beyond the point where concepts like legal immunity matter.