[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/examples/README.md

@@ -14,25 +14,30 @@ multimodal or structured input lists.
 ## Prerequisites
 
 - Python `>=3.10`
-- Install SDK dependencies for the same Python interpreter you will use to run examples
+- Install the SDK for the same Python interpreter you will use to run examples
 
-Recommended setup (from `sdk/python`):
+Install the published beta:
 
 ```bash
-uv sync
+python -m pip install openai-codex
+```
+
+The SDK installs its pinned `openai-codex-cli-bin` runtime dependency.
+The pinned runtime version comes from the SDK package dependency.
+
+## Run From A Checkout
+
+Contributors using these checked-in scripts should install development
+dependencies from `sdk/python`:
+
+```bash
+uv sync --extra dev
 source .venv/bin/activate
 ```
 
-When running examples from this repo checkout, the SDK source uses the local
-tree and does not bundle a runtime binary. The helper in `examples/_bootstrap.py`
-uses the installed `openai-codex-cli-bin` runtime package.
-
-If the pinned `openai-codex-cli-bin` runtime is not already installed, the bootstrap
-will download the matching GitHub release artifact, stage a temporary local
-`openai-codex-cli-bin` package, install it into your active interpreter, and clean up
-the temporary files afterward.
-
-The pinned runtime version comes from the SDK package dependency.
+The examples bootstrap local SDK imports from `sdk/python/src`. If the pinned
+runtime is not already installed, the bootstrap installs the matching runtime
+package for the active interpreter and cleans up temporary files afterward.
 
 ## Run examples
 
@@ -43,10 +48,7 @@ python examples/<example-folder>/sync.py
 python examples/<example-folder>/async.py
 ```
 
-The examples bootstrap local imports from `sdk/python/src` automatically, so no
-SDK wheel install is required. You only need the Python dependencies for your
-active interpreter and an installed `openai-codex-cli-bin` runtime package (either
-already present or automatically provisioned by the bootstrap).
+The checked-in examples use the local SDK source tree automatically.
 
 ## Recommended first run