Design a sophisticated set of BIAB (Builder In A Bottle) nails that showcases a delicate, translucent pastel color palette. Feature gradient hues that smoothly transition from a soft lavender to a gentle peach, offering a chic and modern twist. Enhance the design with subtle gold foil accents near the cuticle, adding a touch of luxury and elegance. Make sure the design retains an understated simplicity, allowing the natural beauty of the BIAB nails to shine through.