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, agent identity sections, sidecar, 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., `cis-`) or empty for standalone
- `{agent-name}` → Agent functional name (kebab-case)
- `{skill-description}` → Two parts: [4-6 word summary]. [trigger phrases]
- `{displayName}` → Friendly display name
- `{skillName}` → Full skill name with module prefix
## Module Conditionals
### For Module-Based Agents
- `{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., `cis`)
- `{module-setup-skill}` → Name of the module's setup skill (e.g., `bmad-cis-setup`)
### For Standalone Agents
- `{if-module}` ... `{/if-module}` → Remove the entire block including markers
- `{if-standalone}` ... `{/if-standalone}` → Keep the content inside
## Sidecar Conditionals
- `{if-sidecar}` ... `{/if-sidecar}` → Keep if agent has persistent memory, otherwise remove
- `{if-no-sidecar}` ... `{/if-no-sidecar}` → Inverse of above
## Headless Conditional
- `{if-headless}` ... `{/if-headless}` → Keep if agent supports headless mode, otherwise remove
## Beyond the Template
The builder determines the rest of the agent structure — capabilities, activation flow, sidecar initialization, capability routing, external skills, scripts — based on the agent's requirements. The template intentionally does not prescribe these.
## Path References
All generated agents use `./` prefix for skill-internal paths:
- `./references/init.md` — First-run onboarding (if sidecar)
- `./references/{capability}.md` — Individual capability prompts
- `./references/memory-system.md` — Memory discipline (if sidecar)
- `./scripts/` — Python/shell scripts for deterministic operations