Link to GitHub APIs in developer program documentation

[schneidergithub]

Updated the integration content to link directly to GitHub's APIs.

Why:

Updating documentation to link to the official API documentation. Was missing from this page and saves a few clicks for devs.

[github-actions]

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Source	Review	Production	What Changed
integrations/concepts/github-developer-program.md	fpt ghec	fpt ghec

Key: fpt: Free, Pro, Team; ghec: GitHub Enterprise Cloud; ghes: GitHub Enterprise Server

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[Copilot]

Pull request overview

This PR updates the GitHub Developer Program concept page to include a direct link to API documentation, making it easier for readers to navigate from the overview to API resources.

Changes:

• Replaced a generic “integrate where you push code” sentence with a direct link to GitHub API documentation.

[Sharra-writes]

@schneidergithub We're not actually supposed to update this article, because at some point the developer program is supposed to be getting an overhaul with entirely new documentation. But I don't have a timeline on that, and this doesn't change the core of the article, so I'm going to let it go through. I just want you to know that I probably won't accept many other edits to this article since we're supposed to let it be.

[github-actions]

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