[codex] Prepare Python SDK beta documentation and package metadata (#24836)

## Why

The initial public `openai-codex` beta should read and install like a
normal published Python package before a release tag is created. This
follows merged PR #24828, which establishes the independent SDK beta
release plumbing and exact runtime dependency.

## What changed

- Rewrote `sdk/python/README.md` as a compact PyPI-facing beta package
page: published installation, one quickstart, short login examples,
built-in help, and links to deeper guides.
- Updated the getting-started guide, API reference, FAQ, and examples
index to present the published beta consistently without repeating
onboarding in the package landing page or reference page.
- Made `pip install openai-codex` the primary install path while beta
releases are the only published SDK releases, with `--pre` documented
for opting into prereleases after a stable release exists.
- Added curated `help()` / `pydoc` docstrings across the public API and
generated public convenience methods through
`scripts/update_sdk_artifacts.py`.
- Declared the repository `Apache-2.0` license expression and
Documentation URL in package metadata, without introducing a duplicated
SDK-local license file.
- Kept the source distribution focused on installable package material
(`src/openai_codex`, `README.md`, and `pyproject.toml`); the repository
docs and runnable examples remain linked from the PyPI README.
- Built release artifacts in an Alpine container on the Ubuntu runner,
matching Python SDK CI and allowing type generation to install the
published `musllinux` runtime wheel.
- Added `twine check --strict` to the release workflow so malformed PyPI
metadata or rendered README content fails before publishing.
- Added focused SDK assertions for beta metadata, the exact runtime pin,
source distribution contents, and the built-in Python documentation
surface.

## Validation

- Ran `uv run --frozen --extra dev ruff check
scripts/update_sdk_artifacts.py src/openai_codex
tests/test_public_api_signatures.py
tests/test_artifact_workflow_and_binaries.py` before the final
README-only reductions and review-fix follow-ups.
- Built `openai_codex-0.1.0b1-py3-none-any.whl` and
`openai_codex-0.1.0b1.tar.gz` before the final README-only reductions
and review-fix follow-ups.
- Ran `python -m twine check --strict` on both built artifacts before
the final README-only reductions and review-fix follow-ups.
- Verified artifact metadata reports `Apache-2.0` without a duplicated
SDK-local license file.
- Verified `inspect.getdoc(...)` resolves documentation for the package,
`Codex`, `CodexConfig`, and key generated thread methods.
- Rebased the documentation/readiness change onto merged PR #24828
without changing the intended SDK or workflow file contents.
- Final verification is delegated to online CI for this PR.

sdk/python/pyproject.toml

@@ -1,20 +1,19 @@
 [build-system]
-requires = ["hatchling>=1.24.0"]
+requires = ["hatchling>=1.27.0"]
 build-backend = "hatchling.build"
 
 [project]
 name = "openai-codex"
 version = "0.1.0b1"
-description = "Python SDK for Codex app-server v2"
+description = "Python SDK for Codex"
 readme = "README.md"
 requires-python = ">=3.10"
-license = { text = "Apache-2.0" }
+license = "Apache-2.0"
 authors = [{ name = "OpenAI" }]
-keywords = ["codex", "json-rpc", "sdk", "llm", "app-server"]
+keywords = ["codex", "sdk", "llm", "ai", "agents"]
 classifiers = [
   "Development Status :: 4 - Beta",
   "Intended Audience :: Developers",
-  "License :: OSI Approved :: Apache Software License",
   "Programming Language :: Python :: 3",
   "Programming Language :: Python :: 3.10",
   "Programming Language :: Python :: 3.11",
@@ -28,6 +27,7 @@ dependencies = ["pydantic>=2.12", "openai-codex-cli-bin==0.132.0"]
 Homepage = "https://github.com/openai/codex"
 Repository = "https://github.com/openai/codex"
 Issues = "https://github.com/openai/codex/issues"
+Documentation = "https://github.com/openai/codex/tree/main/sdk/python/docs"
 
 [project.optional-dependencies]
 dev = ["pytest>=8.0", "datamodel-code-generator==0.31.2", "ruff>=0.15.8"]
@@ -51,9 +51,6 @@ include = [
 include = [
   "src/openai_codex/**",
   "README.md",
-  "CHANGELOG.md",
-  "CONTRIBUTING.md",
-  "RELEASE_CHECKLIST.md",
   "pyproject.toml",
 ]