Does the Trinity teach there are three persons who are one being who are the Father, Son and HS?I, a trinitarian, am telling you that you're wrong, and I already provided you with the definitions I accept for "God" and "Trinity."
Repeatedly asserting the above claim will not magically make it come true, no matter how many times you claim it is "undeniable."
Now, that being said, perhaps I could help you out:
A more appropriate comparison would be between "Trinity" and "Godhead."
You seem to be forgetting something, as well. Trinitarians also assert that each Member of the Godhead are Themselves the entirety of God.
I don't know how that works, how God is three Persons, as one Being, and how each Person is also the full manifestation of God, and I doubt I ever will, or maybe God will be able to explain it to me after I get to heaven.
It's something where, at least for now, I'm simply going to have to appeal to the mystery of Who and What God is, because all other options, as @Lon puts it, do damage to the rest of scripture.
Is God three persons who is one being, namely the Father, Son and HS?
Is the explanation of who the 'one God' is that God is the Father, Son and HS, or is the explanation of who God is that God is only Jesus?