There seems to be a lot of confusion, not to mention some wilful ignorance about the nature of God.
Many Christians believe in the Trinity and that Jesus was God incarnate.
Some even point to the Trinity and state that Christians worship three Gods.
Nothing could be further from the truth. For example, look at a chicken egg. It has three separate parts. The yolk, the egg white, and the shell. So, which one of those parts is NOT the egg. They all are.
It's the same with God. One God, three persons, all sharing the essence of God. All equal. One God. But three in nature.
Get it now?
I thought your metaphor of the egg was excellent so kudos. As for the detractors who do not understand or accept the metaphor, if you take away the shell you still have what we call an egg, but it is not a complete egg, only the part that is inside the shell. If you separate the shell, egg, and yolk, you then call it an eggshell, yolk, egg white none of which are an egg but are only part of one.
Yet each part of the egg has a separate function. The shell protects and contains the white and yolk. The egg white is a nourishing protective. The egg yolk is the generator of new life.
God the Father is the creator, the protector, the engineer of order in the universe and designer of its functions and purpose and fate.
God the Son, i.e. the Word, Jesus/the Christ, is love, passion, caring, redemption, healer, the evidence of eternal life.
God the Holy Spirit, Counselor, Advocate, Convicter of Sin, Intercessor, God with us
One God that we know in three ways. Not separate beings as I understand it, but one Being that we know in different ways/functions.