Personally, I’d go on a limb and define a god as any entity that is beyond the limits of our understanding.
Such a definition would seem, minimally, unhelpful and most certainly, only serves to muddy the water. By your definition, any unknown or advanced alien species and even, perhaps, highly evolved mammals, such as whales or elephants - which are not completely understood and, therefore, for the moment are “beyond the limits of our understanding” - could be classed as “gods” until when or if they are fully understood.
Traditionally understood, “gods” have supernatural powers; powers over nature which are not reducible to mere manipulation of causal properties. They are said to supervene in the natural order, not simply intervene by natural means.
Granting that “gods,” by definition are supernatural deities or beings with the capacity for supernatural activity, activity not reliant upon natural causal means, the question remains whether such beings do, in fact, exist. Furthermore, it remains a most important question whether God as the supreme Being, or as defined by classical theism, as THE necessary and sufficient Creator of all that exists, does indeed exist.
Some corollary questions re: gods would be:
What is the relationship between the Supreme Creator God and these other gods?
Why would any human choose to honour or worship these other gods and eschew worship due the Supreme Creator?
What evidence or support from metaphysics does one rely upon to even posit the existence of such beings when, on the face of it, at least, there is no such evidence?
Arguments like that from the fine tuning of the universe or the Kalam cosmological argument, among the thirty + arguments all seem to point at one Supreme Being, at least, for the reason that needlessly multiplying explanations is unwarranted.
Furthermore, the classical definition of God as omnipotent (power without limit) entails that the existence of more than one omnipotent being is logically impossible, since the power of one would be a necessary limit on the other’s power.