Ah! It took me a rewatch to really understand what happened in ep 4 of IOTNBO
1. She came to walk her father because she deduced that was the reason KT was angry, as he told him in the garden when KT scolded ST. Therefore, at the end when KT heard that she was strangled by her dad, no wonder he ran to her and hugged her. He realized how much she was willing to do for him.
2. The reason he has been annoyed is because at the toy shop when ST was buying the dinos, he said what MY said to KT and KT was not happy to realize that he is just an object for MY (Editor’s call during ramyun date, parallel with ST, MY in car saying people are objects). KT expects himself to be important to her.. And that expectation got challenged the entire episode until the very end.. When he realized, she went there despite knowing how difficult face off with dad is (and wounds that no one knows about)… so the love is back
3. Ofcourse book helped show MY’s story for it to resonate with KT

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