Displaying upcoming events AND/OR past events

Using Low Events, I want to display the next 3 upcoming events, unless there are fewer than 3 upcoming events, in which case I need to display the last 3 events in the system (including upcoming and past events).

For example, let's say my events are: Aug 11, Aug 13, Aug 15, Aug 17.
If today is Aug 1, I should list: Aug 11, Aug 13, Aug 15.
If today is Aug 16 or Aug 18, I should list Aug 13, Aug 15, Aug 17.

Can I do this with the native tags, or do I need to involve some external logic (e.g. w/ Stash, or similar)?
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