Gemini on the inside, Sagittarius on the way in.
Your sun in Gemini (air, mutable) is the engine — what thinks at the centre, what adapts when you are at home in yourself. Your Sagittarius rising (fire, mutable, ruled by Jupiter) is the door — the way you arrive in a room, the first read the world takes of you, the body you walk in.
Strangers tend to assume you are fast and bold — that is the Sagittarius arriving first. Then they get to know you and discover the Gemini air underneath, which can be a layered second read — they have to update their first impression.
Reads as Sagittarius until you trust them; then Gemini comes through. The mutable-mutable mix means you consistently adapts.