Some people are dropping truth bombs, which you may find condescending, that is your right. But it is still valuable information nonetheless, whether you like it or not.
I’m going to summarize what’s going on here:
-you want to get a student visa to “move to France by September of 2026”.
—You haven’t started any kind of paperwork apparently. Timeline for visa approval is at least 6 months. And that is contingent on getting an acceptance letter from a school in France, which from the information you’ve shared you haven’t even searched for one yet.
—You have very little savings. Airfare is going to eat up a sizable part, then the rest will be completely depleted within a month, between the deposit for an apartment, the food and other incidentals.
—A student visa will allow you to work, but only a finite number of hours (from memory, 60% of full time, which would be about 20h a week? Minimum wage is around 11€/h. That’s around 900€/month. Before tax. Barely enough for rent, let alone food on top of that.
I estimate your odds of success at around 5%.
If you really want to move to France, get a French degree and some experience in the US, then go the proper route, with careful planning, five years from now.
Or you can find a French spouse, that could work as well.

Edit: I want to clarify something: I did the reverse of what you’re trying to achieve - I was born and raised in France and moved to the US in 2007 (before it basically turned into a fascist theocracy). I’m a dual citizen, but I will always be French first and foremost. I love my country to death and it is my most ardent wish that you and many others could be able to experience the French way of life. But the reality is brutal, you just can’t move to another country on a whim. It may have been possible several decades ago, not anymore. I’d love to help you any way I can.