That Gospel changed after the offer of the Kingdom of God was removed from the Jews and for a time, the Kingdom of heaven, put on hold ( Acts 7,Rom.9-11)
The Gospel of Grace is found starting in Acts 8 and now the issue is the death, burial, Resurrection of Jesus Christ, the Son of God, who died for our sins.
Acts 2 is speaking of Christ as the Son of David, and not dying for anyone's sins.
Acts 22:16 Ananias is not aware of the change of Dispensations and gives Paul the Kingdom message.
Note in Acts 19 where those baptized with this old message need to be baptized in the name of Christ.
Apollos was not even aware of it (acts 18)
Now in Rom 10 we have the NT gospel, Lord Jesus being raised from the dead (Lord standing for His Deity).
I would not use Rom.10:13 by itself but with 1Cor.15:3-5 among others.
You are putting your preconceived doctrinal beliefs into the Scripture. There is one Gospel. And you are seriously trying to tell me that Ananias, who was sent to Paul by God, gave the wrong speech to Paul? That would mean that God messed up, which is blasphemy. Step away from your preconceived ideas and read the Scriptures for what they are, the true Word of the living God.