Reference recent paper to join group?
Rather than explaining in the email why you would want to join this particular lab over any other lab, I would simply write an email that says something like

Dear Professor X, I'm in my second year at uni and I am considering
which group to join. I read your recent paper ABC and would love to
learn more about the work you and your group does. Do you maybe have
45min in the next week where we could chat about this in person?
Best, anon.jpg

EDIT: Anonymous Physicist just rightly pointed out that this is for an undergraduate study and not searching for a PhD lab as I had mistakenly assumed. I would still ask for a large enough amount of the profs time though to make the meeting worth while. In my eyes there is no point to meet for such a short time that another meeting would be required. So maybe ask for 30 minutes. If the prof won't find 30 min time, then I think this means this prof is too busy for undergrads in the lab.