How do i put more Than 5 Effects Into a Audio Channel Mixer slot?

I can only suggest this as workaround, simply don't use audio mixer for that (if you want lots of audio plugins on your audio).
I assume you have few audio clips on timeline, so just nest them and put all audio plugins on the that one nest.
That should work well and still keep your singular, editable audio files on timeline (but inside the nest). Alternatively if you have finished audio you could just render it to WAW as one single stem and apply audio plugins/effects on Effect Control (not audio track mixer).

TL;DR

1. Pay for a whole new Adobe app just to add a 6th effect

2. Use some workarounds like nesting the audio and adding the effects to the clip instead of the track

3. Consider using Davinci Resolve 😄

Too bad I can't add 6 audio effects. I only needed a deEsser, would keep things way more organized if I could add all of them directly into the track

If you're doing that much work with audio you might want to consider going to Audition. "Edit sequence in Audition " is a slick way to work in a full audio app and have your work become the audio in PrPro.

Neil