I installed the Fabric API for 1.18.2 released 4 days ago on curseforge. Downloaded the fabric installer and created a new profile for 1.18.2 today. Removed all incompatible mods based on the errors that fabric was throwing. Yet still the game keeps crashing and I get the error message attached below.

Can you provide the logs please? Does this happen with only fabric API?

There's a file in the logs folder named 'latest', I assume that is the logs you want. Attaching it here:
latest.log

sodium is causing that crash, please check to see if it has an updated version for 1.18.2