What is the meaning of 1 John 5:13?

* The two F.O.G. Bibles & Commentary below are currently a work in progress.

I have written these things to you who believe in the name of the Son of God, so that you may know that you have eternal life.

Berean Standard Bible (BSB)

These things I have written to you who believe in the name of the Son of God, that you may know that you have eternal life, and that you may continue to believe in the name of the Son of God.

World English Bible (WEB)

These things{G5023} have I written{G1125}{(G5656)} unto you{G5213} that believe{G4100}{(G5723)} on{G1519} the name{G3686} of the Son{G5207} of God{G2316}; that{G2443} ye may know{G1492}{(G5762)} that ye{G3754} have{G2192}{(G5719)} eternal{G166} life{G2222}, and{G2532} that{G2443} ye may believe{G4100}{(G5725)} on{G1519} the name{G3686} of the Son{G5207} of God{G2316}.

Strong's King James

These things I have written to you all so that you may know that you have an ageless life (zoe), all of you who continue to believe in the Name of Elohim’s Son.

The F.O.G*

[13] I've written these things to you who believe in the name of God's Son, so you can know with confidence that you have eternal life - not just hope so, but know so!I have written these things to you all so that you may know that you have eternal life. Rest assured, anyone who continues to trust in the Name of Yahweh’s Son will live.

The F.O.G Paraphrase

These things I did write to you who are believing in the name of the Son of God, that ye may know that life ye have age-during, and that ye may believe in the name of the Son of God.

Young's Literal Translation