Light-Space Love: New Horizons

Captain Linessa Star runs diplomacy at the edge of known space, sent by the SpermFleet Federation to make first contact with Xeno civilizations nobody's met yet. The Federation's whole pitch is love, spread through supporting Xeno reproduction by whatever means diplomacy allows.

That mission puts her crew's ship at the border between Federation territory and the hostile unknown, where the Grand Initiative gets tested by exactly the kind of civilizations it was built to woo.

You manage the ship and crew through a rogue-lite structure, sending them out to scout sectors, meet new species, and handle whatever combat or complications come from uncharted contact. Turns are fought out rather than clicked through, and the sandbox layer means runs vary depending on what corner of the border you push into.