Does this mean "last time" as in "the last time in a series," or "the most recent time?" Or both?
Most recent time
I thought it's 마지막 .-.
Refer to the above comment. 마지막 is used in the context of "it's the last time I'm doing this" whereas, 지난 번 is used in the context of "the last time I came here it was raining".
What's the difference between 지난 and 어제