After Inter won this title, they must immediately return to focus on Serie A and the Champions League with enthusiasm. Obviously they have a bigger desire than just to win the Italian Super Cup because Serie A and the Champions League mean more to them at the end of the season. Atalanta are already waiting for them this week, so Inter must prepare well.
I think Inter main target this season is more likely to be Serie A champions. Indeed, they will continue to play with their best performance to still qualify for the next round in the UCL. However, the race for the Serie A title is currently quite hot considering the gap in points between Inter and several clubs below it is quite close. If they fail to focus because of the several tournaments they participate in, their chances in Serie A will also have potential to be lost. since AC Milan only fokus in Serie-A now.