[Typescript Conversion: Level 20]: Convert ui/components/ui/button/button.component.js to typescript

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## **Description**

Convert `ui/components/ui/button/button.component.js` from JavaScript to TypeScript as part of the TS migration initiative.

## **Scenario (for user stories only)**

_(Not applicable)_

## **Design (for user stories only)**

_(Not applicable)_

## **Technical Details (for technical tasks only)**

- Convert this file to TypeScript.
- Migration Level: **20**
- Dependencies:
- None
- Dependents:
- ui/components/app/modals/new-account-modal/new-account-modal.component.js
- ui/components/ui/button/index.js
- ui/pages/settings/contact-list-tab/edit-contact/edit-contact.component.js
- ui/pages/settings/contact-list-tab/view-contact/view-contact.component.js

## **[Threat Modeling Framework](https://github.com/adamshostack/4QuestionFrame) (for technical tasks only)**

- What are we working on? Convert file to TypeScript.
- What can go wrong? Type errors, integration mismatches, missing types.
- What are we going to do about it? Write types carefully and test thoroughly.
- Did we do a good job? _(To be evaluated)_

## **Acceptance Criteria**

- File is fully converted to TypeScript.
- Tests pass.
- File adheres to linting rules.
- Functionality remains unchanged.

## **Stakeholder Review (for MetaMask employees only)**

- [X] Engineering
- [ ] Design
- [ ] Product
- [ ] QA
- [ ] Security
- [ ] Legal
- [ ] Marketing
- [ ] Management
- [ ] Other

## **References**

- Parent issue: #31460

Start with ui/components/ui/button/button.component.js and review its listed dependents: new-account-modal.component.js, index.js, and the contact views and editor. Convert the target file to TypeScript without changing functionality, then run the relevant tests and lint checks; done means the file is fully converted and both checks pass.

Written by the indexing model from the issue text.