What the objection is claiming

The first audience is used to limit an explicitly expanding promise and later apostolic practice.

Begin with the text

Acts 2:38-39

38 Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost. 39 For the promise is unto you, and to your children, and to all that are afar off, even as many as the Lord our God shall call.
Open full referenceThe gift of the Holy Ghost is promised to repentant believers across generations and distance.

How the passages answer it

Acts deliberately moves from Jerusalem to Samaria, Gentiles, and the wider Roman world. At each frontier, water baptism and Spirit reception remain part of the apostolic response. The promise is as broad as God’s call.