docs: add byesu provider page

[amdmsz]

Add provider doc page: byesu

Adds an official provider documentation page for byesu, an AI API gateway that exposes an OpenAI-compatible endpoint (base URL https://byesu.com/v1), so LiteLLM users can reach its models with the byesu/ prefix.

Changes

• docs/providers/byesu.md — new provider page, following the same template as the existing OpenAI-compatible gateway pages (e.g. publicai.md): overview table, required env vars, SDK + Proxy usage, streaming, and the /responses route.
• sidebars.js — one line registering providers/byesu in the providers list (alphabetical, between black_forest_labs_img_edit and bytez).

Notes

• byesu speaks the standard OpenAI Chat Completions + Responses format, so no code changes are needed to use it today via model="openai/<m>", api_base="https://byesu.com/v1". This page documents that, and pairs with a companion code PR registering byesu/ as a first-class provider prefix.
• Endpoints referenced were confirmed reachable (/v1/chat/completions, /v1/responses return auth errors rather than 404, indicating the routes exist).

Docs for byesu: https://docs.byesu.com/en/clients/litellm

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Project	Deployment	Actions	Updated (UTC)
litellm	Ready	Preview, Comment	Jul 12, 2026 9:13am

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[chatgpt-codex-connector]

Document only a supported byesu route

This page presents byesu/ as an immediately usable LiteLLM provider route, but OpenAI-compatible provider prefixes are only available after adding the provider to litellm/llms/openai_like/providers.json as described in docs/contributing/adding_openai_compatible_providers.md:7-9, and the current LiteLLM provider registry does not include byesu. Until the companion LiteLLM change is merged and released, users following these examples with only BYESU_API_KEY will get an unknown-provider failure instead of routing to byesu; either gate this doc on that release or document the supported openai/... plus api_base="https://byesu.com/v1" form.

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