I did some experimenting and found out that I can paste the text verbatim by disabling the "Indent Using Spaces" command under View -> Indentation.
This solves my problem but I don't like to have that feature disabled all the time. What I am trying to do is somewhat unusual. Usually, I like to have it enabled to prevent me from accidentally inserting tab characters into what I am working on.
For that reason, I will see if anyone here comes up with a better solution, and only accept my answer if I don't find anything within a week or so. I am looking for a way to paste text verbatim just one time, without having to change a setting that affects how my tab key works.