Eligibility for IVF coverage

I am a French citizen born in South Africa. I have never lived in France and have no French social security number. I am planning to move to France next month and I will register as an auto-entrepreneur. ! want to confirm that I will be eligible for IVF coverage (prise en charge AMP/PMA) once registered with CPAM. I am 40 years old.

Specific questions:

• Does auto-entrepreneur registration give immediate CPAM affiliation?
• Once affiliated, is IVF (FIV) covered at 100% for up to 4 cycles?
• What is the age cutoff for egg retrieval and embryo transfer?
• How long after affiliation can I begin the IVF authorisation process (demande d'entente préalable)?
• Is there any minimum residency period before IVF is covered, or is it available as soon as CPAM rights are open?