If I want to negate two things, can I combine them with -que? For example, if I want to say "I don't have a cat or a dog", can I say non habeo felem canemque? Or should it rather be non habeo felem canemve?
My intuition is to say non habeo felem nec canem rather than non habeo felem et canem, but I am less sure about the enclitic.
This question arose from TKR's comment to my answer to a recent question by tony. The case there was a little more convoluted, but I want to start with this simple setting and then ask follow-up questions if needed.