Summary
Classical Western theology begins with the simplicity and unity of God. Each person is wholly and equally God, not one-third of God, and the persons are distinguished by relation: the Father begets, the Son is begotten, and the Spirit proceeds. Because the divine nature and action are one, creation and redemption are works of the undivided Trinity, though Scripture fittingly attributes missions to particular persons.
What this contributes
It strongly protects monotheism, equality, and inseparable divine action while grounding personal distinction in eternal relations rather than temporary roles.
Question to keep in view
The model must explain the vivid interpersonal language of Scripture without reducing the persons to abstract relations or making their distinction difficult for ordinary readers to grasp.