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All Hail Yato created a topic of Checkmate(TAN)

Still find it interesting how the author expresses Minseok's feelings in a subtle way.

My personal interpretation is that Soohyun's button is a representation of his feelings towards Soohyun.

I remember his question:
"Wait, what is 'this'? How long have I been holding onto 'this'?" in Chapter 34.
If you think about it that way, it's quite literal.

So, when he threw Soohyun's button, it means he gave up his own feelings and is no longer holding onto them. This happens right after he realizes that Soohyun has already settled and is content with his own life.

It's only my interpretation, so it is subjective. There are a lot of ways to interpret it.

Well, telling something in a subtle way means you leave a lot of room for people to guess and interpret, that's why there is no way I can stop discussing Checkmate.
It happens with almost the cast. That's why Checkmate is one of the webtoons that has lots of ships in its fandom.