What does it mean to turn the other cheek? How many times should a person be forgiven for their toxic actions?
I think that you are conflating two different commandments.
The commandment to turn the other cheek is about non-retaliation. We are not to fight with others. The love required is self-sacrificial, not based on emotion.
The commandment to forgive is questioned by Peter, and Jesus answers with a parable. The import is that we continue to sin, no matter how hard we try not to, and consequently need God to forgive us many times in our lives, therefore we must be prepared to forgive others many times.
Matthew 18:21-35 Then Peter came to Him and said, "Lord, how often shall my brother sin against me, and I forgive him? Up to seven times?" 22 Jesus said to him, "I do not say to you, up to seven times, but up to seventy times seven. 23 Therefore the kingdom of heaven is like a certain king who wanted to settle accounts with his servants. 24 And when he had begun to settle accounts, one was brought to him who owed him ten thousand talents. 25 But as he was not able to pay, his master commanded that he be sold, with his wife and children and all that he had, and that payment be made. 26 The servant therefore fell down before him, saying, Master, have patience with me, and I will pay you all. 27 Then the master of that servant was moved with compassion, released him, and forgave him the debt. 28 But that servant went out and found one of his fellow servants who owed him a hundred denarii; and he laid hands on him and took him by the throat, saying, ‘Pay me what you owe!’ 29 So his fellow servant fell down at his feet and begged him, saying, ‘Have patience with me, and I will pay you all.’ 30 And he would not, but went and threw him into prison till he should pay the debt. 31 So when his fellow servants saw what had been done, they were very grieved, and came and told their master all that had been done. 32 Then his master, after he had called him, said to him, ‘You wicked servant! I forgave you all that debt because you begged me. 33 Should you not also have had compassion on your fellow servant, just as I had pity on you?’ 34 And his master was angry, and delivered him to the torturers until he should pay all that was due to him. 35 So My heavenly Father also will do to you if each of you, from his heart, does not forgive his brother his trespasses.
Luke 17:3,4 Take heed to yourselves. If your brother sins against you, rebuke him; and if he repents, forgive him. 4 and if he sins against you seven times in a day, and seven times in a day returns to you, saying, ‘I repent, you shall forgive him.
Thus in the ‘Lord’s prayer’ we read: Luke 11:4 And forgive us our sins, For we also forgive everyone who is indebted to us.
The overriding principle is to love our neighbour (those people we come into contact with) as we love ourselves.
I hope you find this helpful.
God bless,
Glenn