Where do you live that there is one standard egg size? At the very small market down the street from me, I count 3~5 sizes in their various packages (depending on how picky you want to be about "same size")
A digital scale is game changing for baking and (to a lesser extent) cooking. I dragged my heels for years on the purchase and I absolutely regret not having bought one years ago.
Just think about how annoying measuring a cup of peanut butter is, scraping it out of the measuring cup, washing the cup.. vs just adding spoonfuls of peanut butter to a mixing bowl.
You can still bake just fine with measuring spoons and cups but you’ll be more consistent and better with the scale.
They are required for experiments. I like to add a small amount of baking soda into my banana bread for a nicer crust but if you add too much, think 0.X grams too much, then the banana bread could begin to have a vaguely pretzel-like taste.