Correct me if I am wrong but don't think you asked Nehemiah6 to explain but rather you asked him to answer a simple Yes or No. The Godhead is also found in 1 John 5:7 which clearly refutes Ebionism that Jesus is God the Father who himself become Son. John 1:14 does the same for the Word is not the Father, hence, the incarnation of Christ simply to answer that the Godhead is a tripartite being.This is what happens when you insist something is a square-circle; when asked to explain, you can not, you rephrase the question - you want to explain a square separately and circle separately because they do exist, a square - circle doesn't, so can not be explained.
But God exists and can be explained in simple understandable terms that He Himself has explained.
Non of these is a trick question and the question about the nature of God should not be a trick question to anyone that believes.
1.Trinity being a mystery is a cop out; a line of excuse that can be used by anyone. I can come tomorrow and say 'God is fire, it is a mystery which i can not explain, i just believe it because it is true'.
2.If you believe something is a mystery, you can not tell someone else that they are wrong in their explanation because they are not you, especially when they do not believe it is mysterious but they do believe they can explain it.
3. Starting an explanation of how God is three in one and ending up with 'God is mysterious' is contradictory.
4. Jesus is one person and one God by himself. If you ever find yourself having problems with that, don't claim that the truth is in you.
King James Bible
For there are three that bear record in heaven, the Father, the Word, and the Holy Ghost: and these three are one.