Add Muri (Cook Islands) to your list and use my-locations table to visually convert it's time to another timezone or city time.
Mouse over the colored hour-tiles and glance at the hours selected by the column.

Current time zone for Muri (Cook Islands) is Pacific/Rarotonga, whose offset is GMT-10 from Greenwich Mean Time (GMT).

The IANA timezone identifier for Muri, Cook Islands is "Pacific/Rarotonga"

It currently does not observe Daylight Savings Time.