Waking up early actually doesn't automatically make someone more productive. If you sleep too late and then force yourself to wake up at five in the morning, what happens is that your body lacks time to rest and you spend the day tired. So if you want to build a morning routine, I think the first step is not to buy a new alarm or make a long to-do list, but to improve your sleep time. The body needs a schedule that is consistent enough so that changes don't feel like punishment every morning. Start with small changes and don't immediately force yourself to wake up too early if you've been used to waking up later.
After successfully waking up, don't immediately fill the morning with lots of targets. Drinking water, opening a window, making your bed, doing some light stretching, taking a short walk, or sitting down to breakfast can be a good start. If you want to use the morning to work or study, choose one or two things that are really important. A morning routine should help us start the day calmly, not be a list of achievements that makes us feel like a failure if we miss one activity. I prefer a simple routine that can be done almost every day to an overwhelming routine that only lasts three days. The key is not to wake up early in the morning, but to wake up with a body that is well rested and has a clear direction for living the day.