net.fabricmc.loader.impl.FormattedException
COAL-007 · Fabric Loader refused to start
Fabric Loader aborted startup. This exception confirms a mod set problem reported elsewhere in the log rather than being a separate fault of its own.
What it looks like in the logException in thread "main" net.fabricmc.loader.impl.FormattedException: Incompatible mod set! at net.fabricmc.loader.impl.FabricLoaderImpl.load(FabricLoaderImpl.java:216)
What it means
Fabric Loader checked your mod set, decided it could not be loaded, and stopped. This exception is the stop itself, not the reason. Fabric always prints the reason in plain English immediately above this line - a missing dependency, a version conflict, or a duplicate mod.
How to fix it
Scroll up until you find the human-readable block Fabric printed just before this. It normally reads as a bullet list of unmet requirements, sometimes followed by a suggested fix. Work from that, not from this exception. The likely targets:

