What does "frame game" mean in the last sentence? This story is from "Arthur".
The story is about Arthur's new glasses.

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It is a made-up expression. Being in the "something-game" means "to be good at something and to do it a lot."
If you said that you are in the "money-making-game" it means that you are often trying to make money and you are successful at it.

"Frames" are the part of glasses that are not glass.

So, being in the frame-game means that you often wear glasses and that you are an expert about the style of glasses.

The character is making a joke that he is an expert at wearing glasses even though he is wearing ski-goggles