A/C cause CEL on 1.8T Passat?

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My check engine light loves to be lighted. Today, the A/C was blowing rather warm. I turned off the recirculated air button, leaving the A/C button on. Suddenly: cold air. Pushed the recirculate button: More cold air. But, aha, also a check engine light. Is there a connection between the two or is the CEL something else? (Have had mass flow sensor, 02 sensors replaced)