Ordering 3 minutes before closing.. Do you understand refusing because they said they've closed??

Literally.. well.. (according to the poster's claim)
They entered a cafe 3 minutes before closing
and ordered a coffee,
but the part-timer refused the order,
saying they had already closed for the day.
The poster demanded they take the order
since there were still 3 minutes left,
but the part-timer repeatedly informed them
that they were closing.
The next day, the poster went back and argued with the owner,
asking if they shouldn't take orders if there are 3 minutes left.
The owner agreed with the customer and apologized.
The poster asked if they were being a "difficult customer" (jinsang),
so what do you all think??
Should they have taken the order even if it was 10 seconds left instead of 3 minutes?
Or no.. should one have just left, understanding
that they don't take orders to prepare for machine cleaning and closing?
What would you do in this situation??