Stupid question: If you use the Upside app to pay for Dunkin’ Donuts do you get charged as Dunkin to your credit card? (Details below)

I have a deal on my Chase credit card where I get 10% off on Dunkin’ purchases, but on the Upside app I get 2% off on Dunkin purchases BUT, ONLY if I pay through the Upside app itself .

Is it possible to get both cash back deals or am I going to get charged as something else other than the donut vendor.