fix: correct type export and register custom element in the DOM

[hriczzoli]

No description provided.

[Copilot]

Pull request overview

This PR improves TypeScript consumer ergonomics for the corti-embedded web component by ensuring the published type entrypoint is correct and by adding DOM typings so the custom element is strongly typed when selected from the document.

Changes:

• Added a CortiEmbeddedElement type and registered 'corti-embedded' in HTMLElementTagNameMap for typed DOM access.
• Updated the package exports["."].types entry to point at dist/web-index.d.ts (matching the TS entrypoint rather than the bundled JS).
• Updated the TypeScript demo to rely on querySelector('corti-embedded') typing and to make the event listener attachment null-safe.

Reviewed changes

Copilot reviewed 3 out of 3 changed files in this pull request and generated 3 comments.

File	Description
src/types/api.ts	Adds a DOM element type and global HTMLElementTagNameMap augmentation for corti-embedded.
package.json	Fixes the exported types path to align with the TS-compiled web entrypoint (web-index).
demo/demo.ts	Updates demo typing approach for the element and adjusts imports / event listener attachment.

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