One thing I love about Judaism is that long involved conversations about things like “can a zombie attend shul?” or “can i use my pet dragon to light candles on shabbat?” or “is meat from a replicator kosher?” are seen as completely normal.

Yes, but it should avoid contact with a Cohen if it can, and if the dragon is a Gentile sure, why not, a pet dragon is an ideal Shabbos goy, since it probably lives with you, and will get a kick out of helping. If it’s a Jewish dragon, though, no, it’s better for you to do it yourself rather than cause another Jew to violate Shabbat.

Wait wait… if a jew owned the dragon as a pet wouldn’t using the beast’s labor to light candles be pretty explicitly prohibited?

Good point. Is the dragon property, or is it a roommate?

I think it was ruled that one may allow a dragon to ignite a fire if (a) the dragon is non-sapient, and preventing them from lighting the fire would be animal cruelty, or (b) the dragon is sapient, non-Jewish and not in indentured service.

And one cannot bring a dragon into a household for the express purpose of lighting candles at a later date, since the Jew would be directly benefiting from the dragon’s actions on Shabbat. 

But if the dragon just happens to live there already and feels the urge to light candles, it should not be stopped from doing so – as the sages said: “the same candle that benefits one can be used to benefit one hundred.“ (Shulchan Aruch HaRav, 276:6) 

This was a thrill from start to finish.