And the fourth row, a beryl, an onyx, and a jasper: they were inclosed in ouches of gold in their inclosings.
Exodus 39:13 KJV commentary https://bible.com/bible/1/exo.39.13.KJV
We are not told why these specific stones were selected but knowing who God is there is a definite reason.
God through out scripture is very deliberate in his dealings.
He even has specific measurements for everything.
He did not just pick those stone at random by name. He is God.
https://bible.com/bible/1/exo.39.13.KJV
And they tied unto it a lace of blue, to fasten it on high upon the mitre; as the LORD commanded Moses.
Exodus 39:31 KJV commentary https://bible.com/bible/1/exo.39.31.KJV
This was as the lord had commanded. 8t followed a pattern. Likely that of heaven because we know there are altars et AL there
https://bible.com/bible/1/exo.39.31.KJV