@RonMcDaniel
My point wasn't that you had to have the ID to get information about the quiz through GraphQL, it was that you cannot get quiz-specific information through the GraphQL API other than what the quiz ID is and whether an assignment is a quiz. By that I mean anything beyond what a regular assignment would have available. The quiz ID is part of the assignments object.
What module something is in isn't specific to quizzes. The "Elementary Student" in your last screenshot isn't information about the quiz, it's the name of the module. Note that modules is an array in case you have an assignment in multiple modules. But to Canvas, you're not fetching the modules the quizzes are in, you're fetching the modules the assignment, which just happens to be a quiz, is in. You need the assignment ID to fetch it, not the quiz ID.
Things specific to quizzes are things like the number of questions, the actual questions, the question groups, and the quiz settings. For those, you need to use the Quiz xxx APIs from the REST API. When you look on the left side of the API documentation, you see Quiz Assignment Overrides, Quiz Extensions, Quiz IP Filters, Quiz Question Groups, ..., Quizzes. That's what I'm talking about when I say the information about quizzes isn't available through the GraphQL interface.