feat(models): expose user BYOK availability

[chrarnoldus]

Summary

• Add hasUserByokAvailable beside model data-collection metadata.
• Report per-model enabled BYOK compatibility for authenticated personal and organization catalogs.
• Keep the field absent for unauthenticated catalogs, always true for direct BYOK models, and false for non-BYOK experiment/custom models.

Verification

Not manually tested; this is an API response metadata change with no visual surface.

Visual Changes

N/A

Reviewer Notes

Kilo-exclusive models remain marked unavailable because their routing intentionally bypasses Vercel BYOK.

[kilo-code-bot]

Code Review Summary

Status: No Issues Found | Recommendation: Merge

Executive Summary

Single formatting commit (oxfmt) on top of the prior BYOK model availability changes — no logic changes, no regressions.

Files Reviewed (6 files)

• apps/web/src/app/api/openrouter/models/route.ts
• apps/web/src/app/api/openrouter/models/route.test.ts
• apps/web/src/lib/ai-gateway/byok/index.ts
• apps/web/src/lib/ai-gateway/providers/direct-byok/index.ts
• apps/web/src/lib/organizations/organization-models.ts
• apps/web/src/lib/organizations/organization-types.ts

Previous Review Summary (commit da4b02a)

Current summary above is authoritative. Previous snapshots are kept for context only.

Previous review (commit da4b02a)

Status: No Issues Found | Recommendation: Merge

Files Reviewed (6 files)

• apps/web/src/app/api/openrouter/models/route.ts
• apps/web/src/app/api/openrouter/models/route.test.ts
• apps/web/src/lib/ai-gateway/byok/index.ts
• apps/web/src/lib/ai-gateway/providers/direct-byok/index.ts
• apps/web/src/lib/organizations/organization-models.ts
• apps/web/src/lib/organizations/organization-types.ts

---

_{Reviewed by deepseek-v4-pro-20260423 · 177,251 tokens}

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