What maintenance should be done on the Audi A3's engine?

I've recently purchased an Audi A3 and I want to ensure that I properly maintain its engine. What are some essential maintenance tasks that should be done regularly to keep the engine running smoothly?

Regularly change the engine oil and filter. This is crucial for keeping the engine lubricated and running efficiently.

Check and top-up the coolant level as needed. This helps prevent overheating and potential damage to the engine.

Inspect and replace the air filter when necessary. A clogged air filter can decrease engine performance and fuel efficiency.