Maybe you need to reread ACTS 10
Peter presents the gospel:
39 “We are witnesses of everything he did in the country of the Jews and in Jerusalem. They killed him by hanging him on a cross, 40 but God raised him from the dead on the third day and caused him to be seen. 41 He was not seen by all the people, but by witnesses whom God had already chosen—by us who ate and drank with him after he rose from the dead. 42 He commanded us to preach to the people and to testify that he is the one whom God appointed as judge of the living and the dead. 43 All the prophets testify about him that everyone who believes in him receives forgiveness of sins through his name.”
Cornelius is Regenerated (note: Regeneration came AFTER hearing the gospel)
44 While Peter was still speaking these words, the Holy Spirit came on all who heard the message. 45 The circumcised believers who had come with Peter were astonished that the gift of the Holy Spirit had been poured out even on Gentiles.
So, your proof has fallen apart.
Aside: It is not the best idea to use narrative sections of scripture to form doctrine. That is why I quoted Rom. 10:16 But they did not all pay attention to the good news [of salvation]; for Isaiah says, “Lord, who has believed our report?” 17 So faith comes from hearing [what is told] ... which states a precursor (cause) of faith is hearing the gospel