Are those measurements above the fretboard or above the crown of the fret itself?
It does sound like you might be able to lower the bridge a bit, but definitely have to figure out that buzz first.
If it’s only on that one string and fret, it could be that your frets need to be leveled in that spot. It could also mean the truss rod needs adjusting. Less likely, but also possible, there could be a loose brace inside the guitar that responds to that note’s frequency. I’ve been surprised how many times I’ve seen that over the years.
When you fret the G string at 2, hold it down and press the same string with your right hand between 3 and 4. Can you tell if the string moves down toward the 3rd fret? If there’s no room for movement, it’s either a fret leveling or truss rod adjustment job.