Ref T11816. Two minor issues:

• We used $event, not $next_event, as the event providing the PHID for "Busy at <event name>". This rendered "Busy at <most future event>" on the profile instead of "Busy at <next upcoming event".
• The TTL computation used the event start, not the event end, so we could end up rebuilding the cache too often for users busy at an event.

• Attended an event in the near future and one later on.
• Saw profile now say "busy at <near future event>" correctly.
• In DarkConsole "Services" tab, no longer saw unnecessary cache refills while attending an event.