A far simpler depiction of the trinity is the h2o molecule. It exists in three states. Solid, Liquid and gas. Ice, water and vapour. The Sun the solid. The Holy Spirit the liquid and the Father the vapour.. Three states of the same molecule. This is not unique to H2O but this is the h2o planet and Christ came as a solid tangible expression of the Trinity. Christ himself said that God is spirit. nebulous like a vapour. The Holy Spirit is said to be poured out like water.
The Son the solid I should say.
And, at the “triple point” (at a certain temperature and pressure), the water exists in all three phases at the same time. Works for any material - just different temps and pressures.
God exists in three distinct persons, not states. The example you suggested is classic “modalism” or “Sabellianism.” It’s one of the unorthodox teachings of T.D. Jakes and Oneness Pentecostals.