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You can apply directly to the French government through their France-Visas website. On the first page of the form select "Short-stay" visa. On the second page, select the box "Spouse of French or family member of an EU citizen or similar ?"
On the third page you will see that the visa will be issued for free. Above there is a list of supporting documentation you will be required to provide, but strictly speaking under EU law, most of this is not required. You do not need to provide evidence for the purpose of your stay, health insurance, accomodation, funds, or profession. Only the relationship between the EU citizen and their family members (marriage, birth certificates etc.).