I wouldn't really consider it a side story though, not sure why they called it like this but this is actually an important part of the story since it's the first time we get to see ilay's thoughts and impressions about taeui from the very beginning, which will reflect directly on his actions on the next chapters.
I think its cause this webcomic is primarily all bout taeuis thoughts and perspective. So concidering that calling it side story fits perfectly. Although in other webconics giving everyone's thoughts (thought bubbles) and opinions is completely normal
I wouldn't really consider it a side story though, not sure why they called it like this but this is actually an important part of the story since it's the first time we get to see ilay's thoughts and impressions about taeui from the very beginning, which will reflect directly on his actions on the next chapters.