
You must survive a raid at each location consecutively without dying, disconnecting, or running out the timer. If you do any of these you will have to start again. If you extract from the raid with a "Run Through" status, you will not reset the quest, but that raid will not count as being completed. To avoid the "Run Through" status, gain at least 200 EXP in raid (by killing or looting) or be in raid for at least 7 minutes before extracting. You do not have to do the maps in any order, they can be done in any fashion as long as you survive.
This quest can also be completed in a single raid when using transits.