Design a minimalist and highly refined logo that features a single, continuous line extending seamlessly from one edge of the canvas to the opposite edge. The line should flow gracefully, creating a balanced and visually appealing composition. As it moves across the canvas, it must form an elegant and delicate heart shape at the center of the design, maintaining fluid motion and uninterrupted connection. The heart should be proportionally harmonious, with soft, rounded curves that evoke love, unity, and warmth. The line should taper slightly at its entry and exit points, adding a sense of depth and motion, while remaining smooth and uniform throughout the majority of its path. The logo should embody simplicity and sophistication, with no additional embellishments, ensuring the focus remains on the purity of the single-line concept. Use a color palette that exudes warmth and refinement: a muted gold for the line, set against a soft cream or light blush pink background, with subtle shadows or gradients to create a gentle three-dimensional effect. The composition must feel open and airy, with precise spacing to emphasize the elegance of the flowing line. The overall design should convey timeless beauty, emotional resonance, and a sense of interconnectedness, perfect for branding that inspires love, harmony, and sophistication.