fix(examples): configure Vite to handle bb.js dependencies in browser example

[0xethll]

Description

Problem*

Resolves #10399

When running yarn dlx vite, the application would hang at "Generating proof..." with no errors. The root cause was that @aztec/bb.js is not excluded from Vite's dependency pre-bundling.

Summary*

Fixes the browser example to work correctly with Vite development server (yarn dlx vite). Previously, the example only worked after building (yarn build) and serving static files (yarn test).

Additional Context

Documentation*

Check one:

• [ ✅ ] No documentation needed.
• Documentation included in this PR.
• [For Experimental Features] Documentation to be submitted in a separate PR.

PR Checklist*

• [ ✅ ] I have tested the changes locally.
• I have formatted the changes with Prettier and/or cargo fmt on default settings.

[github-actions]

Thank you for your contribution to the Noir language.

Please do not force push to this branch after the Noir team have started review of this PR. Doing so will only delay us merging your PR as we will need to start the review process from scratch.

Thanks for your understanding.

[0xethll]

@TomAFrench Would you have a chance to review?

[TomAFrench]

BHey @0xethll, thanks for this PR however it seems to have been handled in #10400 so I'm going to close this PR.