There seems to be a consistent phenomenon where the Torah relays a miracle or sign of Hashem, but only when He carries the act out through wind is the process specified. Why is this?
See parshas Bo 10 13 where the east wind is described as bringing the locust. By no other makeh is the physical process for bringing the plague described.
Famously in parshas Bishalach 14 21 a powerful east wind is described as drying the sea bed.
Again in parshas Beha'alosecha 11 31 the quail are brought through a wind. We are never told how Manna was created or brought.
Also of note is ורוח אלקים מרחפת על פני המים in Bereishis 1:2, as pointed out by @Shokhet. Targum there says it was a רוח מן קדם ה׳, a wind from Hashem.
I am not going into descriptions of wind involvement found in the prophets, but if it would help, feel free to reference them.
So what is special about wind that it is mentioned when used by Hashem? There seems to be no other force consistently mentioned when used by Him.