update overview docs for API

[Oreoxmt]

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[gemini-code-assist]

Summary of Changes

Hello @Oreoxmt, I'm Gemini Code Assist¹! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

This pull request refines the API overview documentation for TiDB, focusing on improving clarity, consistency, and maintainability. The changes include adding external links for better navigation, standardizing terminology, providing more detailed descriptions for TiDB Cloud API versions, and centralizing the TiDB Operator version for easier updates. These updates aim to make the API documentation more user-friendly and accurate.

Highlights

• Documentation Clarity & Consistency: Enhanced API overview documents by adding external links, standardizing terminology (e.g., 'beta' vs. 'Beta'), and improving phrasing for better readability across several files.
• TiDB Cloud API Version Details: Provided more descriptive summaries for the v1beta1 and v1beta versions of the TiDB Cloud API, clarifying their respective management capabilities.
• TiDB Operator Version Centralization: Introduced a tidb_operator_version variable in variables.json and updated all relevant TiDB Operator API links to use this variable, improving maintainability and simplifying future version updates.
• Grammar and Conciseness: Made minor grammatical corrections and shortened API operation descriptions across several files for improved conciseness and clarity.

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[gemini-code-assist]

Code Review

This pull request provides a good set of updates to the API overview documentation. The changes improve clarity, consistency, and maintainability by adding helpful links, using variables for versioning, correcting terminology like 'failover', and making the language more concise.

I've added a couple of minor suggestions to further enhance readability and word choice, in line with the repository's documentation style guide. Overall, these are positive improvements to the user-facing documentation.

[qiancai]

Rest LGTM

[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2026-01-22 09:53:53.884086805 +0000 UTC m=+660461.498043651: ☑️ agreed by qiancai.

[ti-chi-bot]

@Oreoxmt: The following test failed, say /retest to rerun all failed tests or /retest-required to rerun all mandatory failed tests:

Test name	Commit	Details	Required	Rerun command
pull-verify	2170cc4	link	true	/test pull-verify

Full PR test history. Your PR dashboard.

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