Liam Kosta: Armor Diplomacy
Chat with Liam aboard the Tempest some time after you've recruited Jaal. Liam will ask for your approval on some research project he's devised.
You approve this project by crafting an armor prototype in the Research and Development interface. Resource costs are minimal.
Craft it, then go to Liam's room in the Tempest to trigger an unexpected cutscene.
Talk things out with Liam to complete the mission- there are several opportunities for flirting (though even if you don't flirt with him, he still won't put a shirt on).