The clinic is responsible for child support, in the same way a guy would be responsible for child support if he impregnated a woman by accident
It is an even worse situation, if the kid has neither the man's genes nor the woman's genes.
If a man accidentally impregnates a woman, the woman will still have to pay a portion of the child support (Unless it were Rape),
but in this case, NEITHER parent is genetically related to the kid, so the Clinic's level of child support should be 100% of the costs
of supporting the kid. Or perhaps 100% minus some small percentage if it will be raised by the couple who the clinic failed, since the woman who carried the child through pregnancy will likely feel some bond and responsibility to the child, so the clinic should pay 90% of costs if they keep the kid, or 100% of the kid's support costs, if they will give the kid up for adoption. And the support costs including daycare, safety equipment, diapers, 3 square meals + 2 snacks a day for 21 years, ample clothing, medical and dental including insurance, medicines treatment for conditions, and 2 checkups a year, quality education, books, basic tools such as a calculator, a computer, high-speed internet, and a fair budget for the child's entertainment and other incidentals (at least $250/month), Plus the child's share of rent and use of property for at least 500 square feet..... In other words, the Clinic should pay about $13,000 US per year X 21 years = ~$273,000 US.