How can I learn essential teamwork skills in 30 minutes?

That sounds like you are not willing to put too much effort into it …

A good advice to increase your teamwork skill is: listen, in order to understand.

Many people are already working on the counter arguments while they are listening to others. If you instead focus to comprehend what the other has to say, you will:

Be perceived as a team player.

Better understand the positions of your co-workers and customers.

Come up with better solutions that will be tailored to the needs.

You don’t even need to invest 30 minutes: just try to listen patiently whenever a member of your team is talking to you. And ask questions in order to figure out what they really want to say.