I call a foul. There's NO way you can hold onto stadium food that well getting glomped by your hot boss. Or glomping your (secret) girlfriend, for that matter.
Being responsible for the food run during a heavily-attended game sucks balls. Now, if it was a dog days of summer weekday afternoon game with like 15 people in the stands, sure, take your time and buy however much you want.
And for not knowing anything about baseball you did a pretty good jump translating it for it to not sound awkward or with unusual terms.
And, finally, if you have any doubts about the Japanese and baseball, just look up Summer Koshien. One of the most ridiculous sports events in the world... and its for high school baseball. Crazy. Nothing compares to it anywhere in the world for that level of competition. Even the Little League World Series, which I've attended several times having gone to college about 90 miles from Williamsport, can't come close to Koshien's level.