docs: openai_legacy hosted /v1 example (not openai_responses, not /login) #2624

The providers page already covers openai_legacy for Chat Completions hosts. Three details are easy to get wrong:

1. type must be openai_legacy. openai_responses is the wrong wire for a Chat Completions-first host. /login only covers Kimi Code / Moonshot platforms; it will not set a custom host.
2. base_url is the /v1 root, not /v1/chat/completions.
3. Shell export OPENAI_API_KEY=... is not read. The key goes in ~/.kimi/config.toml.

PZERO is a live OpenAI-compatible host. Catalog: GET https://api.pzero.studio/v1/models. Default text id: deepseek-v4-flash. Prepaid Bearer key (pzero_…). POST /v1/responses exists (401 without a key, not 404) but Chat Completions is the working path for agent tools.

# ~/.kimi/config.toml
default_model = "pzero"

[providers.pzero]
type = "openai_legacy"
base_url = "https://api.pzero.studio/v1"
api_key = "pzero_…"

[models.pzero]
provider = "pzero"
model = "deepseek-v4-flash"

Do not set type = "openai_responses". Do not run /login after this file is in place. Do not prefix model with openai/ (that prefix is for OpenRouter / LiteLLM).

No first-party plugin asked. If a named vendor subsection is too much, the gotchas above are the docs gap; the block is a worked example for searchers.