docs: update the list of available APIs

[yoshi-code-bot]

Update the list of available APIs in the README.

[gemini-code-assist]

Summary of Changes

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This pull request updates the project's README.rst file to incorporate the newly available Database Center API into the documented list of Google Cloud Python client libraries. The change ensures that the documentation remains current, offering users immediate access to the API's client library, relevant issue tracking resources, and its PyPI package page.

Highlights

• New API Listing: The Database Center API has been added to the list of available APIs in the README.rst file, complete with links to its client library, issue trackers, and a 'preview' status.
• PyPI Badge Integration: A PyPI badge definition for google-cloud-databasecenter has been included, providing a visual and clickable link to its package on PyPI within the documentation.

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[gemini-code-assist]

Code Review

The pull request successfully updates the README.rst file by adding the new 'Database Center API' to the list of available APIs. The new entry is correctly formatted, includes all relevant links (GitHub package, PyPI badge, API issues, and client library issues), and maintains consistency with the existing structure and alphabetical order of the document. The corresponding PyPI badge definition has also been added. The changes are clear, accurate, and align with the stated objective of updating the API list.