Update Azure AI Foundry and GitHub Models documentation to use strongly-typed model constants

[Copilot]

This PR updates the Azure AI Foundry and GitHub Models integration documentation to use the newly added strongly-typed model constants, as requested in issue #5200.

Changes

Azure AI Foundry Integration

Previously, model deployments required hardcoded string values for model names, versions, and formats:

var chat = foundry.AddDeployment("chat", "Phi-4", "1", "Microsoft");

Now, developers can use strongly-typed AIFoundryModel constants:

var model = AIFoundryModel.Microsoft.Phi4;
var chat = foundry.AddDeployment("chat", model);

For local development with Foundry Local, the new AIFoundryModel.Local constants are now documented:

var model = AIFoundryModel.Local.Phi35Mini;
var chat = foundry.AddDeployment("chat", model);

GitHub Models Integration

Similarly, GitHub Models integration now uses GitHubModel constants:

var model = GitHubModel.OpenAI.OpenAIGpt4oMini;
var chat = builder.AddGitHubModel("chat", model);

Benefits

• Type Safety: Prevents typos in model identifiers
• IntelliSense Support: Auto-completion when selecting models
• Better Organization: Constants grouped by publisher (Microsoft, OpenAI, DeepSeek, Cohere, etc.)
• Improved Documentation: Clear examples showing recommended practices

Related

• Addresses Update Azure Foundry doc to use the existing and new model constants #5200
• Based on Implement custom Foundry Local models list. aspire#12031 (AIFoundryModel constants)
• Based on Improve AI models enum aspire#12107 (GitHubModel constants)

Warning

Firewall rules blocked me from connecting to one or more addresses (expand for details)

I tried to connect to the following addresses, but was blocked by firewall rules:

• www.nuget.org
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If you need me to access, download, or install something from one of these locations, you can either:

• Configure Actions setup steps to set up my environment, which run before the firewall is enabled
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Original prompt

Please create a draft PR to address @dotnet/docs-aspire/issues/5200 - the issue comment provides several links with very important and relevant information that should be taken into consideration when working on this issue.

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Internal previews

📄 File	🔗 Preview link
docs/azureai/ai-integrations-compatibility-matrix.md	Aspire AI integrations compatibility matrix
docs/azureai/azureai-foundry-integration.md	"Aspire Azure AI Foundry integration (Preview)"
docs/github/github-models-integration.md	Aspire GitHub Models integration (Preview)