Read Schopenhauer „The Art of Being Right: 38 Ways to Win an Argument”. It’s a short read, but mind opening if you’re new to the subject. If it seems too long then just read some shortened version. If you still have some time after that then go to “list of cognitive biases” Wikipedia entry and continue there.
I believe it is crucial to understand what tricks others are using in arguments. And also what’s our cognitive limits and logical fallacies when trying to understand the world.