That's not how TLS works, your browser has a list of CA(certificate authority)s it can trust, unless a CA gone rogue(which has happened before), you can't change traffic and make it appear from someone else(read on public-key signing).
Where is the key signed? It is signed at the web server providing the HTTPS response. It isn't signed by the CA. The CA provides a digital signature to the certificate to validate the certificate using cryptography (X.509 standard). Digital signature algorithms are very different from the encryption algorithms used in the PKI model.
