feat: redesign match play and add broadcast tooling
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scripts/migrations/0005-openskill.sql
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scripts/migrations/0005-openskill.sql
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-- OpenSkill ratings: elo becomes mu, and sigma holds the uncertainty.
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-- Existing rows keep sigma NULL; the app estimates it from games played.
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ALTER TABLE player_rating ADD COLUMN IF NOT EXISTS sigma real;
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ALTER TABLE team_rating ADD COLUMN IF NOT EXISTS sigma real;
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ALTER TABLE rating_change ADD COLUMN IF NOT EXISTS sigma_before real;
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ALTER TABLE rating_change ADD COLUMN IF NOT EXISTS sigma_after real;
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