Given your definition what's the difference between AGI and superintelligence?

AGI should at least match, not surpass humans in every cognitive task.

AGI is just "artificial" (a program) version of general intelligence (the general purpose intelligence humans have).

Nothing in AGI implies "surpass humans in every cognitive task".

Not even "match in every cognitive task" is really required. There are humans that by definition have "general intelligence" that still don't match other humans "in every cognitive task", just in some.

Why should AGI need to match ALL humans in EVERY congitive task then? An AGI just needs to be as good as an average (or even slightly below average) human, in human-like cognition.

I guess AGI is the breaking point and superintelligence is everything above?