Only thing I saw in the log that looked like it pointed to the mod responsible was in this line of the log:

Caused by: org.spongepowered.asm.mixin.injection.throwables.InjectionError: Critical injection failure: Redirector doesOutputCommandStackTrace(Lorg/apache/logging/log4j/Logger;)Z in carpet.mixins.json:CommandManagerMixin failed injection check, (0/1) succeeded. Scanned 1 target(s). Using refmap fabric-carpet-refmap.json

https://paste.ee/p/IPjik

Did some testing. Found that it runs just fine when I run it on a skeleton load. Removed all mods and started up with just bare minimum to run carpet. Then slowly added them back. Found that it only crashes with a certain other mod: Configured Keep Inventory. Will post to their issue tracker as well, linking them back to here.

Was fixed by other mod.