feat: Calculer automatiquement les moyennes après chaque saisie de notes
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Les enseignants ont besoin de moyennes à jour immédiatement après la
publication ou modification des notes, sans attendre un batch nocturne.

Le système recalcule via Domain Events synchrones : statistiques
d'évaluation (min/max/moyenne/médiane), moyennes matières pondérées
(normalisation /20), et moyenne générale par élève. Les résultats sont
stockés dans des tables dénormalisées avec cache Redis (TTL 5 min).

Trois endpoints API exposent les données avec contrôle d'accès par rôle.
Une commande console permet le backfill des données historiques au
déploiement.
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# Template Substitution Rules
The SKILL-template provides a minimal skeleton: frontmatter, overview, and activation with config loading. Everything beyond that is crafted by the builder based on what was learned during discovery and requirements phases.
## Frontmatter
- `{module-code-or-empty}` → Module code prefix with hyphen (e.g., `bmb-`) or empty for standalone
- `{skill-name}` → Skill functional name (kebab-case)
- `{skill-description}` → Two parts: [5-8 word summary]. [trigger phrases]
## Module Conditionals
### For Module-Based Skills
- `{if-module}` ... `{/if-module}` → Keep the content inside
- `{if-standalone}` ... `{/if-standalone}` → Remove the entire block including markers
- `{module-code}` → Module code without trailing hyphen (e.g., `bmb`)
- `{module-setup-skill}` → Name of the module's setup skill (e.g., `bmad-builder-setup`)
### For Standalone Skills
- `{if-module}` ... `{/if-module}` → Remove the entire block including markers
- `{if-standalone}` ... `{/if-standalone}` → Keep the content inside
## Beyond the Template
The builder determines the rest of the skill structure — body sections, phases, stages, scripts, external skills, headless mode, role guidance — based on the skill type classification and requirements gathered during the build process. The template intentionally does not prescribe these; the builder has the context to craft them.
## Path References
All generated skills use `./` prefix for skill-internal paths:
- `./references/{reference}.md` — Reference documents loaded on demand
- `./references/{stage}.md` — Stage prompts (complex workflows)
- `./scripts/` — Python/shell scripts for deterministic operations