Add database mirrors for AI gateway state

[chrarnoldus]

Summary

• add singleton PostgreSQL tables for gateway routing config, provider-sync timestamps, and request-logging opt-ins
• dual-write successful Redis mutations to the corresponding database tables
• preserve all existing Redis reads and writes during the migration period
• retain both provider-sync timestamps in one database row without overwriting the other column

Commits

1. 566af05d3 adds the schema and generated migration only
2. 537e95845 adds application dual-writes only

Verification

• pnpm --filter @kilocode/db typecheck
• pnpm --filter web typecheck
• pnpm --filter @kilocode/db lint
• pnpm --filter web lint
• formatting with oxfmt
• git diff --check

Test suites were intentionally left to CI.

[kilo-code-bot]

Code Review Summary

Status: No Issues Found | Recommendation: Merge

Files Reviewed (8 files)

• apps/web/src/lib/ai-gateway/providers/openrouter/sync-providers-stale-alert.ts
• apps/web/src/lib/ai-gateway/providers/openrouter/sync-providers.ts
• apps/web/src/lib/ai-gateway/request-logging-opt-ins.ts
• apps/web/src/routers/admin/gateway-config-router.ts
• packages/db/src/migrations/0238_dizzy_namora.sql
• packages/db/src/migrations/meta/0238_snapshot.json
• packages/db/src/migrations/meta/_journal.json
• packages/db/src/schema.ts

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_{Reviewed by grok-4.6 · Input: 224.7K · Output: 16.5K · Cached: 1M}

_{Review guidance: REVIEW.md from base branch main}