How to unlock: Read an e-mail sent by Cora Harper [Tempest].
This section contains a walkthrough for Cora Harper: A Foundation, which is one of the "allies and relationships" quests found in Mass Effect: Andromeda. Your previous adventures have inspired Cora to engage in a private project. The mission sees you travel to Eos to join your second-in-command on site.
Note - If you are currently in an intimate relation with a different crew member (around the time the quest becomes active), the quest may become unavailable.
Unlocking the task
The quest (as well as Cora Harper: At Duty's Edge, its predecessor and prerequisite) becomes active soon after you've managed to score a serious hit upon the kett forces during Hunting the Archon. Your inbox should be updated with an e-mail from Cora, who will ask for a meeting at her dwelling on the Tempest. The conversation will lead to an invitation to join her on Eos.
Go to Eos with Cora
Travel to Eos and make sure that Cora is added to the Pathfinder's party. Your destination is a water reservoir located next to Site 1: Promise (the base used by the Tempest crew in the initial stage of colonizing Eos). Make your way to the location, then press the interaction button to begin a cut-scene with you and Cora that will conclude this smaller errand.
Rewards: Experience Points (XP).