At some level, each part of the Trinity could be said to be involved in the "creation"—the Father presumably is aware of the creation and had furnished the designs or forms. However, I would like to explore more on the demiurgical context of creation.
On the one hand, we have a persuasive hermeneutic that the Holy Spirit portion of the Trinity was this force in Genesis 1:2, as this excellent question and answer lays out, accounting for much nuance along the way: Does Genesis 1:2 refer to the Spirit or a wind?.
While on the other hand, in the prologue of John, the notion that the Logos/Son aspect of the Trinity filled this role is also well-known and has a deep scholarship.
Cosmology and the Prologue of the Fourth Gospel
For ease of reference, John 1:3-4:
3 God created everything through [the Logos], and nothing was created except through him. 4 The Logos gave life to everything that was created.
Perhaps it is unrealistic to expect perfect alignment between OT and NT—after all Genesis itself has two cosmogonies.
And as God is Triune, the distinction between the Son and the Holy Spirit may merely be contrived.
However, the constituents of the Godhead do differ, and on occasion much emphasis is placed on these differences (with John 16:7 being an interesting example of this).
Question
With all this in mind, what might we be able to methodologically gloss from the accounts of different aspects of the Godhead carrying out the demiurgical function of God's creation: must we accept both Persons are viable or can we narrow the field by even a little bit?