In a plucky, spirited, or game manner; with courage and determination despite difficult circumstances.
From 'game' (brave/willing to face challenges) with adverbial suffix '-ly'; emphasizes the courageous quality attributed to someone acting with game-like determination.
British English especially uses 'gamily' to describe someone facing hardship with a stiff upper lip and humor—it's the adverb form of calling someone 'game' (meaning brave and willing to try).
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