Upgrade next and react versions in next example

[brianr]

Description of the change

Upgrades the example next-typescript to the most recent point versions of next, react, and react-dom.

Type of change

• Bug fix (non-breaking change that fixes an issue)
• New feature (non-breaking change that adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• Maintenance
• New release

Related issues

Addresses recent security vulnerabilities in react and next.

Checklists

Development

• Lint rules pass locally
• The code changed/added as part of this pull request has been covered with tests
• All tests related to the changed code pass in development

Code review

• This pull request has a descriptive title and information useful to a reviewer. There may be a screenshot or screencast attached
• "Ready for review" label attached to the PR and reviewers assigned
• Issue from task tracker has a link to this pull request
• Changes have been reviewed by at least one other engineer

[msandula12]

Approved, but noting that latest React/ReactDOM is 19.2.3 and latest Next.js is 16.0.10.

[brianr]

@msandula12 yes; these are the latest versions in the react 19.1.x line and next 15.4 line, all published ~17hr ago.