Do you have to peel a lime before juicing?

I'm curious to know, is it absolutely necessary to peel a lime before extracting its juice? Some people argue that the peel contains valuable nutrients and flavors, while others maintain that the peel can add a bitter or unpleasant taste to the juice. So, what's the verdict? Do you recommend peeling the lime beforehand, or is there a way to effectively juice it with the peel on? I'm eager to learn your thoughts on this topic.