[w3c/manifest] chore: export the "applied" dfn for cross-spec linking (PR #1247)

Exports the `applied` dfn so other specifications can link the relation between a top-level traversable and the manifest applied to it. `application context` is already exported and is defined in terms of `applied`, so the concept is already public while the hook to reach it is not.

Badging is the immediate need: it has to say which installed web application a badge belongs to, and currently works around the gap by going through `Document/processed manifest` and `manifest/id`.

Left `unapplied` unexported, since nothing needs it yet. Happy to add it here if you would rather keep the pair together.

This change (choose at least one, delete ones that don't apply):

* Is a "chore" (metadata, formatting, fixing warnings, etc).

Commit message:

chore: export the "applied" dfn for cross-spec linking


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<a href="https://pr-preview.s3.amazonaws.com/w3c/manifest/pull/1247.html" title="Last updated on Sep 28, 2026, 8:05 AM UTC (d9f0878)">Preview</a> | <a href="https://pr-preview.s3.amazonaws.com/w3c/manifest/1247/8ae3046...d9f0878.html" title="Last updated on Sep 28, 2026, 8:05 AM UTC (d9f0878)">Diff</a>
You can view, comment on, or merge this pull request online at:

  https://github.com/w3c/manifest/pull/1247

-- Commit Summary --

  * chore: export the "applied" dfn for cross-spec linking

-- File Changes --

    M index.html (2)

-- Patch Links --

https://github.com/w3c/manifest/pull/1247.patch
https://github.com/w3c/manifest/pull/1247.diff

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