Can you tell me directly which Cadd9 is?
Yes. Cadd9 is the same notes as Cadd2 because in C, the 9 and the 2 are both the note D.
Strictly, the 9 is in the next octave above the C, but in practice it is often played as the 2, because the "quality" of the chord is the same.
We often do the same with 11 and 13.
Any or all of these may be modified by a flat (b) or a sharp (#).
If 9 is the same as 2, you might want to think about which notes 11 and 13 are the same as.