I won't outright say which upcoming episode we'll end up seeing her or said event, but episodes 1-5 are seen as the common route and general setup of story. So we'll see all the characters introduced by episode 5, some events are going to be route related though. I'd say if the cosplay madness event will most likely be part of Lola's episode 6 or 7.
It's hard to pinpoint how far off until that point, but our expected releases coming up in 2021 Q1 are as follows.
-Feb 5th (public: Episode 3) (supporter: Miki's Dream side story)
-March (public: Miki's Dream) (supporter: Episode 4)
-April (public: Episode 4) (supporter: Episode 5)
-May (public: Episode 5) (supporter: Episode 6 [roughly 3-4 girls])
Hope that gives an idea of things as we head into 2021 ^^