I don't play anything well enough to play in real time. My musical speciality is writing computer programs that create music. (Often using systems such as Max/MSP). I think my musical theory is reasonable, as without it I can't do that.
The chord above is a slight variation of a normal G chord. It has the three notes G, B, and D. As there are three notes in the chord, and six strings, some notes get repeated. Fretting the B string gives you one more D and one less B, but it's the same chord. I would just call it "G".
Are you sure that Try and Love again uses those chords? According to: https://tabs.ultimate-guitar.com/e/e...n_ver2_crd.htm we have D (I) and G(IV). In the second part of the verse (I think this fits the pattern in the previous link of a long verse) we have nice descending lines G F#m Em which will be IV iiim, iim, and then F#m A D, which is iiim, V (finally!) and I. It could be that the chord tab is wrong. If the "oooh gonna try and love again" is a chorus, then it uses G (V) and D(I). A common rocking back and forward used in verses a lot. And of course used at the start of the song. If this is a chorus, it re-uses the chords in the verse but has the more soaring melody and drawn out notes (plus harmonies) as in BOML. However, the verse melody here is higher than it is in BOML, so there is less contrast there in either range or tessitura (I don't know which.)
Hence, I think that's all just the standard three basic major chords and the three basic minor chords from the relative minor. Again, the melody rises to a peak at the end of the verse with the title/refrain, and the second part of the verse varies the rhythm a bit (one by one...). However, I haven't looked at the sheet music and often get things wrong when just thinking about songs.
Coming out of nerd mode, it really is a wonderful melody. It's my favourite song on HC.