docs: Add cursor as a supported integration

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Documents the new cursor integration added to the GitHub Action. Updates the integrations page with cursor in the supported integrations table, integration behaviors table, and setup notes. Also updates the github-action repo documentation with cursor in the integrations list.

Trigger Events

doc-detective/github-action PR #57: Add `cursor` as a supported integration

Promptless Research (1 GitHub PR)

• Reviewed doc-detective/github-action#57

Agent Response

I've reviewed PR #57 which adds cursor as a supported integration to the GitHub Action, and created a documentation suggestion to reflect this change.

Summary of Documentation Updates

Files updated:

1. fern/pages/docs/get-started/integrations.mdx

   • Added cursor to the "Supported integrations" table
   • Added cursor to the "Integration behaviors" table with behavior description
   • Added Cursor setup note in the prerequisites section

2. fern/pages/contribute/repos/github-action.md

   • Added cursor to the list of supported integration values

The new cursor integration follows the same pattern as claude and dosu—it mentions @cursor with the configured prompt when an issue is created on test failure. The documentation updates maintain consistency with how other integrations are documented.

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Citation: Added cursor integration based on changes in index.js where cursor was added to INTEGRATION_MAP with pattern @cursor $PROMPT, following the same pattern as claude and dosu.
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Citation: Added cursor integration based on changes in action.yml which updated the supported values list, and index.js which added the @cursor $PROMPT mapping.
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