I'd say it's a 99.9 percent chance that it would work. Since AC systems are more of a functional parts assembly than style, it would make sense that GM would not spend the time or money to design a different system for the Firebird. In fact you will find that a lot of the AC parts are identical in all the GM lines except in instances where size or shape would be different to physicaly fit the particular body style like the air boxes.
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