“I’m going to get a drink.” - “I am doing the same.”

Will the second person immitate every movement the first one makes? Will the second person use the exact same words and intonation to order a drink? Will the second person order exactly the same drink?

Or will both people make their way to the bar however they like, and then each use their own words to order any drink they happen to want and “doing the same” just means that they will each end up with a drink in their hands?