"We are having a debate with" is not a sentence. Write We don't have to take the names of the people we're going to debate.
Ask Which should we use, "take", "say", or "speak"? Do you see how I put quotation marks around each word that I asked about, and put the punctuation outside the closing mark? I would have put the punctuation inside the closing quotation mark if it had been part of the quoted text. For example, in the previous sentence, I wrote "...if it had been part of the quoted text?".
Student or Learner