Yep, it's a standalone event that automatically has Cove and the MC being a couple. Any other important choices, like the MC's name and gender, will be made inside the event itself. It's a self-contained scene and there's no point where it'd make too much sense to start referencing past events from the actual game. It's just a nice time being romantic/intimate with Cove for a night. Simply a piece of bonus content for fans and not something that's part of the story/main game.