Tournament names are shown differently in different contexts. On the game screen, I see: "2013 June Mini Duel IV 1550-1600". In my list of tournaments, I see: "Mini Duel IV 1550-1600". In the event field of the PGN, I see: "Mini Duel".
"Mini Duel" doesn't represent the band, doesn't distinguish between "Mini Duel III" and "Mini Duel IV", and doesn't capture that the event started in 2013 June (while we might guess that round 1 started that month, we can't guess for subsequent rounds).
When generating the PGN, could we have the full name of the event?