docs: correct context management workflows

[Zxf-xufeng]

Related issue

None (documentation calibration).

Summary

This PR aligns the context-management workflows with the current implementation and adds verification guidance for the areas most likely to cause incorrect data, permissions, or Scope isolation.

Documentation changes

• Make the Codex workflow create and bind a dedicated Scope, document the prompt-capture boundary of the hook, and remove the unsupported Workstream selector step.
• Harden context-text export with pipefail, temporary files, response validation, and atomic replacement so failed requests cannot overwrite the previous context file.
• Correct the OpenDAL defaults and examples, including the server address, asynchronous Python entry point, bearer-token handling, and file-size limit.
• Clarify managed Skill package contents, external Skill target scan/resolve behavior, host-local paths, and remote receiver requirements.
• Add end-to-end vector-search acceptance checks, including the returned mode, entry_id, and matched_by fields, plus guidance for first-time embedding enablement.
• Document the no-model Experience path and the typed proposal option.
• Add Prompt CRUD, capability checks, ETag/If-Match handling, and correct Prompt permissions.

User-facing impact

Documentation only. No runtime code or API behavior changes are included. The examples now require checking actual responses, permissions, Scope isolation, and failure handling.

Validation

• git diff --check
• .venv/bin/python /tmp/powercontext_workflow_audit.py static (76 fenced Python/JSON blocks checked)
• Relevant tests: 68 passed, 1 deselected (after removing inherited POWERCONTEXT_* environment variables)
• make docs-test was attempted, but the website build was blocked by pnpm dependency downloads in the current network/non-TTY environment.
• Prompt API smoke test confirmed that an unconfigured customization provider returns prompt_customization_unavailable; the prerequisite is now documented.

AI usage

Codex (GPT-5) assisted with the documentation review, implementation cross-checks, example validation, and edits. The final content was reviewed by the submitter.

[github-actions]

license-eye has checked 1509 files.

Valid	Invalid	Ignored	Fixed
1075	1	433	0

Click to see the invalid file list

• website/source.config.ts

Use this command to fix any missing license headers

```bash

docker run -it --rm -v $(pwd):/github/workspace apache/skywalking-eyes header fix

</details>

[github-actions]

Suggested change

	import { defineConfig } from 'fumadocs-mdx/config';
	/*
	* Copyright (c) 2026 OceanBase.
	*
	* Licensed under the Apache License, Version 2.0 (the "License");
	* you may not use this file except in compliance with the License.
	* You may obtain a copy of the License at
	*
	* http://www.apache.org/licenses/LICENSE-2.0
	*
	* Unless required by applicable law or agreed to in writing, software
	* distributed under the License is distributed on an "AS IS" BASIS,
	* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
	* See the License for the specific language governing permissions and
	* limitations under the License.
	*/
	import { defineConfig } from 'fumadocs-mdx/config';

[Teingi]

LGTM