Nope. It does not. Since price is the result. Not the cause.

demand / supply => price

Price is an indicator of the others. Price is a measurement.

You would also not say, that temperature increases because the thermometer is there. It is only a measurment tool.

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Good luck in life with those assumptions 🤣

I'll give you something to chew on, it's up to you to draw the right conclusions:

"Why do shops reduce prices and give discounts all the time?"

And please spare me from your results, I'm not interested in spending more time teaching basic economics.

Very odd to criticize them for assumptions baked into the model that you brought up.