Hello. The scope of Li's patent protection is actually not as big as "sticking adhesive on eggs". It doesn't mean that as long as the adhesive sticks to the egg, it is within his scope. He wrote in the patent that "the self-adhesive label has at least three side claws, and there is a gap between the side claws", so your self-adhesive label will not infringe as long as it has no side claws or two side claws. This can still be avoided.
In fact, long before Li's patent, a person had applied for an advertisement about eggs, and the scope of the advertisement was very large and inevitable, but fortunately, the patent has not been granted yet. So as long as you avoid the one above, you can relax.