Private APIs: remove re-registration check

[Copilot]

What?

Remove the re-registration check from the private APIs package. This allows packages to opt-in to private APIs multiple times.

Why?

Some packages like data views and global styles UI are bundled in other packages multiple times, causing the private APIs registration to fail with duplicate opt-in errors—except in Gutenberg itself. This behavior difference between Gutenberg and Core is preventing package syncs because editors crash.

The explicit opt-in process (install package, consent string, unlock) already communicates that these APIs are private with no backwards compatibility guarantees. The check was being worked around via npm patches anyway.

How?

• Removed the registeredModules Set and duplicate registration check from implementation.ts
• Removed the now-failing unit test "Should not register the same module twice"

Testing Instructions

Tests should pass.

Testing Instructions for Keyboard

N/A

Screenshots or screencast

N/A

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[Copilot]

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[github-actions]

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[github-actions]

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