A logical conclusion is based in truth. Is truth relative also? If you are 100% certain we cannot be logical, should I view your post as logical or illogical?
Does logic come from man? Or are the laws of logic immaterial just as the moral law or that math isn't the product of a human mind either, but rather the product of the mind of God. Since God has always existed and thought, the laws of mathematics, logic, and the moral law are also eternal, existing before people.
Logic comes from God. Illogic comes from mankind. Only way mankind can think logically is in all things leaning not on their own understanding but of Gods. You do this and your beliefs represent reality while those who do not lean on God have a false reality born from illogical ideas and unreasonable thinking.
Romans 1 speaks on the invincible qualities of God
Romans 1:20 New International Version (NIV)
20 For since the creation of the world God’s invisible qualities—his eternal power and divine nature—have been clearly seen, being understood from what has been made, so that people are without excuse.
God is easily seen in mathematics, laws of logic, laws of physics, morality, Laws of Thermodynamics, law of biogenesis, etc.
https://answersingenesis.org/is-god-real/god-natural-law
You said God can change the laws anytime. God could but that is a assumption with no evidence but our reality shows every natural law we examine hasn't changed. The laws of light including the speed of light measuring past astronomical events or the laws of radiation haven't changed. Everything is fine tuned and one little mathematical change and life wouldn't be possible. This is how powerful and Intelligent God is.
Everything has been fine tuned and goal directed from a beginning to a end. Everything is goal directed to a pre programming. A pre programming by a programmer.
The Bible represents reality and reality is a reflection of God.