Extend RecordUsageInput and RecordUsageLongContextInput structs with InboundEndpoint and UpstreamEndpoint so that Claude, Gemini, and Sora handlers can record endpoint info alongside OpenAI handlers.
Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-opencode)
Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>
Replace t.Add(24*time.Hour - time.Nanosecond) with t.AddDate(0, 0, 1) and use SQL < instead of <= for end-of-day boundaries. This avoids edge-case misses around DST transitions.
Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-opencode)
Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>
- apply default mapped model only when scheduling fallback is actually used
- preserve reasoning in OpenAI-compatible output via reasoning_content and avoid invalid input function_call ids
