Please re-read what I wrote. I made a distinction between primary sources and secondary re-interpretations. What Descartes, or any other religious person, asserts about the omnipotence of God is irrelevant to the extent it has no primary 'scriptural' backup. To the extent I am familiar with any primary literature of any theology from any culture, no claim of total omnipotence is ever made. Instead, there is only the claim of very great, certainly superhuman, powers of various kinds.
If Descartes claims something like absolute omnipotence for God, then that's his assertion, and not God's. Logically defeating Descartes to disprove God would, therefore, represent a commonplace strawman fallacy. If Lex Luthor points out that Superman is not omnipotent since he can't create a stone so big he can't pick it up, has he disproven the existence of Superman? Did Superman ever claim omnipotence? It's a strawman.
The sum of this train of thinking being: there probably is no "cannonical" model of omnipotence for the OP to aspire to.