That inverter is only specced to work down to 21V. On a 6S LiPO pack that's 3.5V per cell so only about 2/3 the nominal capacity. That means you only have about 1MJ theoretically available, or 3.3l of water heated 75 deg C. Best case, you'll probably have 10% losses each in the battery, inverter and Nespresso, so you'll be lucky to see over 2.4L brewed. It could be as little as half that, i.e 10 longo or 40 espresso.
Caution: At most exhibitions, exhibitors cannot offer anything except pre-packaged, non-perishable food/drink to the general public without a food hygiene assessment. Check the venue's regulations carefully *BEFORE* dispensing beverages.