How may I make an audio file from a flash player 24 recording (record it to cd)?

It's very likely that the audio itself is a .mp3 file or something.  Flash Player is a language runtime, not a video or audio player (you can build a video or audio player on top of it, but we're really providing more generic services to content developers).  There's not a direct way to "save off" audio from Flash Player or something.

You could look at the network tab of your browser's developer tools to see if the browser is requesting a discrete audio file (this is likely) that you could just throw into your favorite audio burning software.  Otherwise, you're stuck coming up with some tricky way to capture audio.  Your options there range from super hacky (plugging the headphone jack into the mic jack on your computer and using some recording software), to more technical possibilities (custom audio drivers, etc.).

Long story short, it's not super straightforward.