Timeline SHATTERING question about chica's party world

So I was going through the games and stuff, trying to do a timeline, and I noticed something that I didn't hear anyone talk about.

Chica's party world is often connected to the mediocre melodies and it tells us that Chica was probably once a mediocre melody and was the star of her own pizzeria/restaurant

Many people put Chica's Party World very early in the timeline at the time of Fredbear's opening, and at some point, those 2 franchises merged.

That's good and all until you go back to see how we learned about Chica's party world in the first place. It was through the source code of a teaser for sister location on Scott's website. In the source code, chica's Party World was a client that rented animatronics from Circus Baby's Entertainment and rentals.

And I think we're 99.99999% sure that CBE&R happens after Fredbear's closes, which creates a paradox.

If Chica's party world was open at the same time period as Fredbear's, and if they merged together, then why is Chica's party world a separate entity when CBE&R is functional?

Even if chica's party world wasnt open at the time of Fredbear's it won't make sense, because we know that chica was a part of the group since 1983 till some point in the 90s. So chica having her own restaurant after all of that time wont make sense, especially that chica was destroyed after FNAF 1 during follow me, and as we can see in FNAF 3 cam 8 chica wasn't repaired.

So Chica having her own location just doesn't make sense, and when we add Chica's party world renting animatronics from CBE&R it doesn't make sense even more