Absolutely this. Relatively quick and clean, no messing with installation or reconfiguration. That is, assuming your data isn’t completely corrupted and the old drive doesn’t just outright fail during transfer… But if that happens you were screwed to begin with.
In my experience, Seagate exos are only “loud/clicky” when under HEAVY write loads. Mostly they’re pretty quiet with a very low drone at worst. In any decent case it’ll be pretty negligible. With headphones on doubly so.