No idea what a Lain Mod is. You may need to go to her room at the right time of day or You may need to get someones elses Friendship higher. Sorry i am not much of help it seems heh
Or it might be the moment You have to go to Kalis room to talk and she will be there... I am not very versed in her story even though i do like her alot hehe. No problem matem, sorry i am not much of help.
