能【néng】

能 is the "can" of circumstances. The skill is not in question – what matters is whether the situation allows it right now.

能 against 会

会 is about having learned something; 能 is about being free, well, allowed or physically able.

A learner who says 我不会去 when they mean they are busy has said "I don't know how to go".

Capacity

能 also states how much someone is capable of.

Permission

能 asks whether something is possible; 可以 asks whether it is allowed. In a question the two overlap, and 能 is common in both.

不能 as a prohibition

Negation

不能, never 没能 at this level.