In Waterdeep, is magistrate another word for magister?

In Waterdeep: Dragon Heist, both magistrates and magisters are mentioned throughout. The lore chapter, ch. 9, "Volo’s Waterdeep Enchiridion," discusses the role of magister in depth, but does not mention magistrates.

Is magistrate another word for magister, or is it a separate office?

Note: I know that the term "Magister" has another meaning in the Forgotten Realms. I am not looking for information about this type of Magister.