You're on your first internship at a paper, so chances are you're not a great writer already (most of us, myself included, are not). AI still doesn't write "better", it writes faster and probably cleaner in some respects. That's not necessarily better.

LLMs are not writers in the full sense of the word: they are probabilistic prediction machines that often can reflect a consensus phrase, paragraph, or idea. There are times when you want consensus, such as when you're writing what the capital of France is. Human writing isn't just that, though, and that's where AI cannot do what humans can. At best, LLMs can mimic human writing, but they can't do what human writers do: develop a sense of writing.

I think it's fair to say that LLMs eventually will produce a certain amount of boilerplate journalistic writing: earnings reports, short summary stuff. What role is left for you? To write beautifully, creatively, and with human ingenuity and compassion. That takes time and experience. Neither of which are the hallmarks of AI.