How many times may I keep coming to be born again?

There are two common information sources the believer is exposed to: information from THE BOOK (Bible) or that from THE COOKS (those who cook up doctrines from their head). Mind your mind.

Commonly mentioned is this teaching of "you need to be born again again", "you have been born again but [for any reason], you need to be born again afresh and be filled again, and be washed again". Oh poor you!

Now this error is not just greatly misleading, it is an insult on the Godhead! If actually you understand what "born again" means…

To be born again is to be born OF GOD
Whosoever believeth that Jesus is the Christ is born of God: (1 John 5:1 KJV)

Then you're saying God can have stillbirth (abiku, ogbanje)

To be born again is to be created in Christ Jesus. (2Co_5:17; Gal_6:15; Eph 2:10)

To be born again is to be born OF THE SPIRIT.
…Except a man be born of water and [of] THE SPIRIT, he cannot enter into the kingdom of God. (John 3:5 KJV)

Then to be "born again again" means the Spirit had a failed child delivery. Holy Spirit had a miscarriage the first time and we hope this baby will survive this time and not need to be born again again. Hmm… Beware that you grieve not the Spirit.

Now, the survival/mortality rate of offspring born to a  parent is largely dependent on the type of specie. In fishes, they give birth to very many offspring, but maybe less than half of them will make it to adulthood. The number is less in fowls, and even lesser in humans – especially with advances in science today. But the New Creature we are at new birth is DEATH-PROOF: He has eternal life – life forever (Joh_3:15, Joh_3:16, Joh_3:36 1John 5:12-13). That is, if 20 people are born again, surviving is not a problem because they are already immune to death.

Furthermore,
the new creature is a demonstration of GOD'S PERFECTION.
Of his own will begat he us with the word of truth, that we should be a kind of FIRSTFRUITS OF HIS CREATURES. (James 1:18 KJV)

Firstfruits means the best: the new creature is God's best!

He is complete in makeup
And ye are complete in him, which is the head of all principality and power: (Colossians 2:10 KJV)

Therefore, stop celebrating sinfulness by answering altar calls to be "born again again", You are born once and to live for evermore. See how Paul illustrates what happened to you at new birth.
Knowing that Christ being raised from the dead [Rebirth] DIETH NO MORE; death hath NO MORE dominion over him. For in that he died, he died unto sin ONCE [not twice, not after many dying and raising from sin and dying and coming up]: but in that he liveth, he liveth unto God. (Romans 6:9-10 KJV)
Likewise reckon ye also yourselves to be dead indeed unto sin, but alive unto God through Jesus Christ our Lord. (Romans 6:11 KJV)

Instead of taking pride in answering such calls, why not say to yourself, "God is able to make me stand! I have eternal life! I reckon to be dead indeed unto sin ONCE, and alive unto God FOR EVERMORE! Death has no more dominion over me! I am not born of a corruptible material but incorruptible! My nature is incorruptible because I am born of the word of God which abides for evermore" (1Peter 1:23).
Hallelujah!