Clarify Prime Inference OpenAI auth setup

[d42me]

Summary

• add a tiny prime package export so examples can use from prime import Config
• expose Config.inference_headers for OpenAI default_headers, including active team context via X-Prime-Team-ID
• update docs/examples to prefer prime login / active config and process-scoped PRIME_API_KEY overrides

Tests

• exact OpenAI snippet with from prime import Config
• exact OpenAI snippet with default_headers=prime.inference_headers
• built wheel install + exact OpenAI snippet with process-scoped PRIME_API_KEY
• built wheel install + team-header snippet with process-scoped PRIME_TEAM_ID
• PRIME_TEAM_ID=ci-team uv run pytest packages/prime/tests/test_inference_config.py -q
• uv run ruff check packages/prime/src/prime packages/prime/src/prime_cli/core/config.py packages/prime/tests/test_inference_config.py packages/prime-evals/examples/basic_usage.py packages/prime-sandboxes/examples/basic_usage.py packages/prime-sandboxes/examples/async_background.py

How it works now

Library code can use Prime Inference with the standard OpenAI client and the active prime login context:

from openai import OpenAI
from prime import Config

prime = Config()
client = OpenAI(
    base_url=prime.inference_url,
    api_key=prime.api_key,
    default_headers=prime.inference_headers,
)

prime.inference_headers exposes the active team context as OpenAI default_headers (X-Prime-Team-ID) when a team is selected via prime switch or PRIME_TEAM_ID. PRIME_API_KEY still works, but as an explicit per-process/project override rather than something users need to export globally.

---

Note

Low Risk
Small additive SDK surface and documentation; inference headers only attach team context when configured, with unit tests.

Overview
Adds a prime Python package that re-exports Config so apps can use from prime import Config, and adds Config.inference_headers for OpenAI-compatible Prime Inference clients ( X-Prime-Team-ID from active team / PRIME_TEAM_ID ).

Docs and examples now steer users toward prime login / active config and process-scoped PRIME_API_KEY instead of global exports or inline API keys, including new OpenAI + Config snippets in the root and packages/prime READMEs. pyproject.toml includes src/prime in the wheel; tests cover the export and inference header behavior.

^{Reviewed by Cursor Bugbot for commit e967f2b. Bugbot is set up for automated code reviews on this repo. Configure here.}

[cursor]

Cursor Bugbot has reviewed your changes and found 1 potential issue.

^{❌ Bugbot Autofix is OFF. To automatically fix reported issues with cloud agents, enable autofix in the Cursor dashboard.}

^{Reviewed by Cursor Bugbot for commit e3a8b69. Configure here.}