It’s definitely played at the 10th fret of the G string, and the whole solo is played on the neck pickup, although the harmonic could have been overdubbed.
As for finding pinch harmonics, try moving the position of your picking hand around and try picking on different parts of the string. A lot of people dont know this, but harmonic happen a very specific divisions of the length of the string. Everyone knows the 5th, 7th, and 12th fret natural harmonics. If you get a tape measure and measure the string, those notes happen at 1/4, 1/3, and 1/2 of the string. This is also why you can hold down the 1st fret and get a harmonic from the 13th fret. The same thing goes for the intervals as well like major 3rds or perfect 5ths. Heres an in depth wikipedia article about this concept, I recommend checking it out!
https://en.m.wikipedia.org/wiki/Music_and_mathematics