Really, Really Smooth
A close friends list is an exclusive list of people whom a person holds closest to their heart. The person has complete control of who they want to keep or exclude from the list, based on their friendship. Which is why it seems quite desperate if someone would ask you to “add them to the list”.
Here, we see a person pushing someone to include them in the close friends list. When all their attempts fail, they have nothing to do except call it an accidental text.