chore: Migrate to the new documenter API

[just-boris]

Description

Applying that change (cloudscape-design/components#3475) across all repos

Related links, issue #, if available: n/a

How has this been tested?

PR build

Review checklist

The following items are to be evaluated by the author(s) and the reviewer(s).

Correctness

• Changes include appropriate documentation updates.
• Changes are backward-compatible if not indicated, see CONTRIBUTING.md.
• Changes do not include unsupported browser features, see CONTRIBUTING.md.
• Changes were manually tested for accessibility, see accessibility guidelines.

Testing

• Changes are covered with new/existing unit tests?
• Changes are covered with new/existing integration tests?

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 99.28%. Comparing base (56c2f12) to head (ba28340).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #87   +/-   ##
=======================================
  Coverage   99.28%   99.28%           
=======================================
  Files          29       29           
  Lines         280      280           
  Branches       34       34           
=======================================
  Hits          278      278           
  Misses          1        1           
  Partials        1        1           

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[just-boris]

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