I'm using Sodium, Lithium, and Phosphor, I've tried this on 2 different versions, version 2.3 and 2.0.
Log: (I'm not a developer and I might just be stupid)

latest.log

The log you provided is quite short, does your game simply not launch? Do you have any form of crash reports or something similar?
You are right there is some conflict as some mod is requesting optifine shaders. Conjuring does not do this, so this might be an issue with another mod. You could try disabling the replaymod and see if your game launches with it. You should also disable Conjuring and see if your game launches without it.

I did both, Keep conjuring disabled replay, fixed optifine thing
Then I Disabled Conjuring and Kept replay, worked perfectly fine.

Also yes it does not launch at all and gives me Exit code 0

Found out the problem, My fabric version, was literally 1 version away from the one that's compatible. It doesnt have a notification like forge that says "[mod] require forge version [newer version]. Your version is currently [old version]