I use em dashes frequently to break up random or ancillary thoughts in my writing. However, I'm uncertain how to deal with punctuation after an em dash when my sentence continues. For example, which of the following is correct?
If at first you don't succeed—I seem to encounter this scenario frequently—try, try again.
If at first you don't succeed—I seem to encounter this scenario frequently—, try, try again.
Would I discard the comma in this case? It seems unnatural to keep it.
EDIT: I originally left out an obvious comma between the two "try"s, but that shouldn't affect the intent of my question.