How do you cover lip wrinkles well?

I'm worried because I get self-conscious about my lip wrinkles every time I apply lipstick. How can I cover them up well?! ㅠㅠ

My lips have always been on the slightly dry side, but recently, the wrinkles on my lips have looked deeper, so even when I apply lip products, they don't look pretty.

Especially when I apply even a slightly matte lip product, it feels like it settles into the wrinkles, making them look even more prominent.

I've tried moisturizing tints and glossy products, but they are fine for a while before drying out quickly and peeling, which is stressful.

I think if it's too moisturizing, the staying power isn't very good either.

I do apply lip balm, but it doesn't seem to be very effective when I apply lip tint over it! I even apply a generous amount before bed and use a lip scrub sometimes, but it doesn't make much of a difference.

Are there any cosmetics or products that can be used as a base to help cover lip wrinkles? I'm also curious about recommendations for lip primers or lip products with wrinkle-covering capabilities. I'm looking for a product that provides a natural finish without emphasizing wrinkles, rather than one that is just too shiny. How can I achieve smooth coverage?