The following quote is taken from John J. O'Donnell's The Mystery of the Triune God. This snippet convincingly demonstrates the problem with viewing the TRES PERSONAE TRINITATIS as three separate centers of consciousness.
"In contemporary parlance, person is spontaneously identified as centre
of consciousness and freedom. However, if we bring these pre-reflective
categories to theology, we are immediately confronted with a problem.
For if we say that God is one being in three persons, and if we
understand by person centres of consciousness and freedom, then God
becomes three centres of consciousness and there are three I think's in
God. But such an understanding is the same as tritheism" (O'Donnell