The common reasons given why Wikipedia shouldn't be cited is often missing the main reason. You shouldn't cite Wikipedia because it is not a source of information, it is a summary of other sources which are referenced.
You shouldn't cite Wikipedia for the same reason you shouldn't cite a library's book report, you should read and cite the book itself. Libraries are a great resource and their reading lists and summaries of books can be a great starting point for research, just like Wikipedia. But citing the library instead of the book is just intellectual laziness and shows to any researcher you are not serious.
Wikipedia itself also says the same thing: https://en.m.wikipedia.org/wiki/Wikipedia:Citing_Wikipedia
"The only art form that Americans have invented, that will commend us down through the years to posterity, is a music born primarily in a community that has the historical memory of being unfree is a supposedly free land" - Ken Burns