SSL certificates via CF on my Webserver

I don't really get how SSL certificates work in combination with AAAA records or respectively, how they generally work.
I have my website running with a CNAME record www for Google sites running and this does work with the free SSL certificate CF offers.
But now I want an AAAA record api also to be secured with an SSL certificate. Do I need to do something on my server or just something in the CF dashboard?
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