You'll pardon me if I use a technical term here: Hogwash!

Covenant
a contract or agreement between two parties. In the Old Testament the Hebrew word berith is always thus translated. Berith is derived from a root which means "to cut," and hence a covenant is a "cutting," with reference to the cutting or dividing of animals into two parts, and the contracting parties passing between them, in making a covenant (Ge 15:1-21; Jer 34:18-19).

This is where you see covenant described between equals there is the Suzerain Treaty which is imposed by a greater upon a a lesser (Ezekial 17:11-14)

In all cases there is no "concept" of a trinity forming a Father/Mother/Son relationship. Point of fact with the Suzerain treaty you see it broke down into:
1. Preamble
2. Names and titles
3. Historical Prologue
4. Stipulations
5. Blessings (If stipulations followed)
6. Curses (if stipulations broken)

These describe the covenant actions between God and his people and his people and other people. I repeat there is nothing in scripture that describes the covenant as you have laid it out.


Peter

If you believe what you like in the gospels, and reject what you don't like, it is not the gospel you believe, but yourself. Augustine of Hippo