content: normalize github product variables in integrations/concepts

Refactored product name references within the integrations/concepts directory.
Replaced hardcoded strings and deprecated 'prodname_dotcom' variables
with the current standard '{% data variables.product.github %}' to align
with the GitHub Docs style guide and naming conventions.

Author: wd006

content/integrations/concepts/about-integrations.md

@@ -1,7 +1,7 @@
 ---
 title: About GitHub integrations
 shortTitle: About integrations
-intro: 'Learn how to connect, extend, and customize GitHub with apps and tools.'
+intro: 'Learn how to connect, extend, and customize {% data variables.product.github %} with apps and tools.'
 redirect_from:
   - /get-started/exploring-integrations/about-integrations
   - /get-started/exploring-integrations/about-using-integrations

content/integrations/concepts/featured-github-integrations.md

@@ -76,7 +76,7 @@ The {% data variables.product.github %} for Teams app lets you subscribe to your
 * {% data variables.product.prodname_actions %}
 * Deployments
 
-You can also open and close issues, comment on your issues and pull requests, approve deployments, and see detailed references to issues and pull requests without leaving Microsoft Teams. The app will also ping you personally on Teams if you are mentioned as part of any {% data variables.product.prodname_dotcom %} notifications that you receive in your channels or personal chats.
+You can also open and close issues, comment on your issues and pull requests, approve deployments, and see detailed references to issues and pull requests without leaving Microsoft Teams. The app will also ping you personally on Teams if you are mentioned as part of any {% data variables.product.github %} notifications that you receive in your channels or personal chats.
 
 For more information, see the integration's [README](https://github.com/integrations/microsoft-teams/blob/master/Readme.md) in the `integrations/microsoft-teams` repository.
 

content/integrations/concepts/github-developer-program.md

@@ -1,6 +1,6 @@
 ---
 title: GitHub Developer Program
-intro: 'If you build tools that integrate with {% data variables.product.prodname_dotcom %}, you can join the {% data variables.product.prodname_dotcom %} Developer Program.'
+intro: 'If you build tools that integrate with {% data variables.product.github %}, you can join the {% data variables.product.github %} Developer Program.'
 redirect_from:
   - /program
   - /developers/overview/github-developer-program
@@ -16,7 +16,7 @@ category:
   - Build integrations
 ---
 
-Building an application that integrates with {% data variables.product.prodname_dotcom %}? Register for our Developer Program! The possibilities are endless, and you enjoy the kudos. [Register now](https://github.com/developer/register).
+Building an application that integrates with {% data variables.product.github %}? Register for our Developer Program! The possibilities are endless, and you enjoy the kudos. [Register now](https://github.com/developer/register).
 
 ## Scratch an itch
 
@@ -26,16 +26,16 @@ Build your own tools that seamlessly integrate with the place you push code ever
 
 Email <a href="mailto:partnerships@github.com">partnerships@github.com</a> to request developer licenses to build and test your application against {% data variables.product.prodname_ghe_server %}.
 
-## Have an integration that works with GitHub?
+## Have an integration that works with {% data variables.product.github %}?
 
 Awesome! Here’s how you can spread the word:
 
-* Use the [Octocat or GitHub logo](https://github.com/logos) to identify that your product works with GitHub.
+* Use the [Octocat or GitHub logo](https://github.com/logos) to identify that your product works with {% data variables.product.github %}.
 * Post a video or a blog on your website about your integration.
 
-## Ready to join the GitHub Developer Program?
+## Ready to join the {% data variables.product.github %} Developer Program?
 
 Membership is open to individual developers and companies who have:
 
-* An integration in production or development using the GitHub API.
-* An email address where GitHub users can contact you for support.
+* An integration in production or development using the {% data variables.product.github %} API.
+* An email address where {% data variables.product.github %} users can contact you for support.