fix(ai-gateway): honor direct BYOK reasoning flags

[chrarnoldus]

Summary

• advertise the reasoning supported parameter only for Direct BYOK models carrying the reasoning flag
• remove include_reasoning from all Direct BYOK model metadata
• cover reasoning and non-reasoning catalog entries

Tests

• pnpm --filter web test -- --runInBand src/lib/ai-gateway/providers/direct-byok/index.test.ts
• pnpm --filter web typecheck
• targeted oxlint and oxfmt --list-different checks

[kilo-code-bot]

Code Review Summary

Status: No Issues Found | Recommendation: Merge

Executive Summary

Reviewed the direct BYOK supported_parameters change and its accompanying test; the reasoning flag gating logic is correct and well covered.

Files Reviewed (2 files)

• apps/web/src/lib/ai-gateway/providers/direct-byok/index.ts
• apps/web/src/lib/ai-gateway/providers/direct-byok/index.test.ts

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_{Reviewed by claude-sonnet-5 · Input: 12 · Output: 2.1K · Cached: 208.3K}

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