- Bump time modes from 1/2 to 2/4 minutes across backend protocol, bot,
timer HUD, and net message types (more room to read a snippet before
guessing).
- Extract per-category token counts/weights into a shared
engine/categoryStats.ts, replacing three independently-drifting
copies of the same formula in ThemeGuessGame/botMatch/multiplayerMatch.
- Switch scoring.ts from a plain weighted average to a power-mean
combine so whiffing a high-weight category can't be masked by acing
the rest; retune colorUtils' similarity falloff divisor to match.
- Update solo config flow, opponent view, and renderer for the new time
options and scoring feedback.
