The tiny egg is a tiny egg that is stuck to the bottom of The small egg. This egg has no eggshell, as it is a hard boiled egg.
While this egg is hard boiled, the material inside is actually a solidified white dwarf that has expanded. This means The tiny egg is still a cosmological verse. In the places where there are gaps between the material, there is egg white. There isn't much egg white since there aren't many gaps.
Why it is stuck to The small egg
The tiny egg's inside is still very hot, even though it is a solid. Due to the pressure of the water in The small egg, the solid star has put heat force on the bottom of The tiny egg, causing it to melt a little bit. However, since The tiny egg is very light, the bottom solidified, but it solidified inside The small egg, so now it is stuck.