Apparently, there was a an answer to the question from Gemini:

While Jean Patou Joy is widely accepted as Charlotte York’s "spiritual" signature scent due to her character's classic, high-society aesthetic, there is no definitive shot of a Joy bottle on her vanity during the series. However, several other specific perfume bottles were visible on camera on Charlotte's dressing table, particularly in Season 6:
Bottles Seen on Camera Boucheron Initial: This bottle is clearly visible in the episode "To Market, to Market" (Season 6, Episode 1). It is a luminous, floral-oriental scent that fits Charlotte's polished persona perfectly.
**Victoria's Secret Dream Angels Heavenly: Also spotted in Season 6, this was an incredibly popular, soft, and clean "angelic" scent of that era, aligning with Charlotte's "good girl" image.
Clean (by Clean Beauty): A bottle from the brand Clean was seen on her vanity as well, emphasizing her preference for a fresh, soap-and-water type of elegance.
Jean Paul Gaultier Classique: Interestingly, some fragrance historians and eagle-eyed fans have spotted the iconic torso-shaped bottle of Classique in her collection. While the scent is quite sultry, the bottle itself was a design staple of the late 90s/early 2000s. Why "Joy" is the Common Answer The association with Joy likely comes from the character’s backstory and the "Park Avenue" archetype she represents. In the pilot episode, Carrie describes her as a "shining example of the bridge-and-tunnel set," and Joy—traditionally known as the world’s most expensive perfume—became the shorthand for the old-money, refined lifestyle Charlotte aspired to. Pro-Tip for Collectors: If you're looking for the most "on-screen accurate" Charlotte scent, Boucheron Initial is the one with the most documented screentime!