The G2 sounds like one of her breathy illusions to me, I know where it's supposed to be but I stop being able to hear it when I slow it down to .5 speed which is usually a pretty good method of determining the legitimacy of a note in my opinion.
When it comes to the G♯5, I generally tend to not want to include underlined notes if there's a higher, non-obscured vocal listed for the same song.
The G3's a very quick note at the end of a run in the lead. The harmony in unison is really buried under the mix on the phrase 'that's all' - some might call the G2 an implied harmony or a 'breathy illusion' as Baronessa said. The harmony on the next line 'Here in my heart is where you should be' is much stronger in comparison. It's sorta like how this harmony might trail off to C3 but only the D3 is really audible & countable - youtu.be/7F37r50VUTQ?t=162