Learn Turkish: Bu proje çok karmaşık. Bununla birlikte, takımımız başarılı. - This project is very complex. Nevertheless, our team is successful.

It literally translates to "together with this" (bununla = with this, birlikte = together). As a contrastive conjunction, it means "nevertheless" or "despite this". It connects two opposing statements, showing that the team's success happens despite the project's complexity.

Could I just use ama (but) instead of bununla birlikte?

Yes, you could say ... ama takımımız başarılı. However, bununla birlikte sounds a bit more formal and puts a stronger emphasis on the contrast. It is very similar to choosing "nevertheless" or "that being said" instead of "but" in English.

How is the adjective başarılı formed?

It is built from the noun başarı, which means "success". By adding the adjective-forming suffix -lı (meaning "with" or "having"), you get başarılı, which literally means "having success" or "successful".

Is the word karmaşık (complex) related to karışık (mixed)?

Yes, they share the same root! While karışık often refers to things that are physically mixed, messy, or tangled, karmaşık is used for abstract things that are "complex" or "complicated", exactly like this project.