fix(nutrition-game): resolve unit change and dark mode issues

[sayanChaterjee]

What

• Fixed the dark mode display issue in the Nutrition Game (Hunger Games).
• The AutocompleteInput component did not previously adapt to dark mode, remaining in light mode even when dark
• mode was enabled.
• Integrated the global darkModeListener to detect and respond to theme changes.
• Updated styles to ensure consistent appearance across light and dark themes.

Screenshot

Fixes bug(s)

Fixes #285 #286

Part of

• Display problem in dark mode in the Nutrition Game (Hunger Games)
• Can't change the unit in nutrition game (Hunger Games)

[vercel]

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