One way to handle this is using the LTI standard (assuming Firefly supports that, which is really ought it).
This does require you to set up Moodle with CodeRunner, and the sandbox, etc. and to create your quizzes there.
However, then you can set up that Moodle site as an LTI tool provider (instructions on) https://docs.moodle.org/311/en/LTI_and_Moodle, and then you can add those CodeRunner quizzes to Firefly or any other VLE which supports the standard, and the experience for students is seamless.
I am not aware of anyone doing that with CodeRunner, but I do know people using that approach to run the STACK question type for Maths.
This does require you to set up Moodle with CodeRunner, and the sandbox, etc. and to create your quizzes there.
However, then you can set up that Moodle site as an LTI tool provider (instructions on) https://docs.moodle.org/311/en/LTI_and_Moodle, and then you can add those CodeRunner quizzes to Firefly or any other VLE which supports the standard, and the experience for students is seamless.
I am not aware of anyone doing that with CodeRunner, but I do know people using that approach to run the STACK question type for Maths.