There is nothing mandating that a court has to put careful consideration between what is and isn’t official business.
The idea that they are "clerics" because they make a decision you disagree with is nonsensical.
https://verdict.justia.com/2023/05/03/how-did-six-conservati...
In the majority's opinion they stated that any act carved out by the constitution for the president is an official one.
The constitution establishes the president as the commander in chief of the armed forces. If the president orders a member of the military to assassinate an individual, he's exercising his role as the commander in chief, an official act, and is thus criminally immune.
The slightly longer form also includes that the majority held that for official acts, a president's motives can't be probed by the courts, so whether the president ordered Seal Team 6 to murder a political rival for self-interested reasons, that it was an official act is the only thing that need be considered.
I'm not saying a president couldn't try. I can imagine that. I cannot understand how it would be an official act. If the president runs out of Kleenex and opts for toilet paper instead, that is not an official act merely because he is president.