Update deployment docs to pipeline-step APIs and remove legacy callback annotation references

[Copilot]

The custom deployment pipeline guidance was outdated and still referenced DeployingCallbackAnnotation / PublishingCallbackAnnotation, which no longer exist. This updates the docs to the current pipeline-step model and removes those legacy references across docs content.

• Custom deployment tutorial migrated to current API

  • Reworked /deployment/custom-deployments/ to use WithPipelineStepFactory + PipelineStepContext instead of callback annotations.
  • Updated examples to show publish/deploy step registration using requiredBy / dependsOn with WellKnownPipelineSteps.
  • Kept the tutorial flow intact while swapping in modern code paths and terminology.

• Cross-links to current extensibility surfaces

  • Added direct links to /deployment/pipelines/ and /extensibility/custom-resources/ from the updated tutorial to anchor readers on the canonical pipeline-step and custom-resource docs.

• Legacy type names removed from docs corpus

  • Eliminated remaining occurrences of DeployingCallbackAnnotation and PublishingCallbackAnnotation under src/frontend/src/content/docs/.
  • Updated adjacent migration/diagnostics/what’s-new wording so references remain accurate without pointing to removed APIs.

return builder.AddResource(resource)
    .WithPipelineStepFactory(
        stepName: $"{name}-build-images",
        callback: PublishAsync,
        requiredBy: [WellKnownPipelineSteps.Publish])
    .WithPipelineStepFactory(
        stepName: $"{name}-deploy",
        callback: DeployAsync,
        dependsOn: [$"{name}-build-images"],
        requiredBy: [WellKnownPipelineSteps.Deploy]);

[Copilot]

Pull request overview

This PR updates Aspire deployment documentation to remove references to legacy callback annotation APIs and align guidance/examples with the newer pipeline-step model (for publish/deploy extensibility and progress reporting).

Changes:

• Migrates the custom deployments tutorial to pipeline-step registration (WithPipelineStepFactory, PipelineStepContext, step dependencies).
• Removes remaining DeployingCallbackAnnotation / PublishingCallbackAnnotation mentions across “what’s new”, pipelines, and diagnostics docs (including JA translations).
• Updates surrounding wording/cross-links to point readers to pipeline and custom-resource extensibility docs.

Reviewed changes

Copilot reviewed 9 out of 9 changed files in this pull request and generated 6 comments.

Show a summary per file

File	Description
src/frontend/src/content/docs/whats-new/aspire-9-4.mdx	Reworks the aspire deploy extensibility example toward pipeline steps and updates narrative around deploy workflow reporting.
src/frontend/src/content/docs/whats-new/aspire-9-3.mdx	Removes explicit legacy type name from publisher model description.
src/frontend/src/content/docs/whats-new/aspire-13.mdx	Rephrases removed-API list entries to avoid legacy callback annotation type names.
src/frontend/src/content/docs/ja/whats-new/aspire-13.mdx	JP equivalent of Aspire 13 removed-API list wording updates.
src/frontend/src/content/docs/deployment/pipelines.mdx	Updates “Removed APIs” list to avoid legacy callback annotation type names.
src/frontend/src/content/docs/ja/deployment/pipelines.mdx	JP equivalent “Removed APIs” list wording updates.
src/frontend/src/content/docs/diagnostics/aspirepipelines001.mdx	Removes explicit legacy type name from affected-APIs list.
src/frontend/src/content/docs/diagnostics/aspirepipelines002.mdx	Removes explicit legacy type name from affected-APIs list.
src/frontend/src/content/docs/deployment/custom-deployments.mdx	Migrates tutorial from callback annotations to pipeline-step factories, including updated progress reporting examples and links.

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