[docs-infra] Report component size in the docs

Steps to reproduce

Open https://mui.com/base-ui/react-autocomplete/

Current behavior

No information about bundle size.

Expected behavior

By order of how great the solution would be:

• 1. Bundle size information is available for each docs page
• 2. Bundle size information is available for each docs page automatically
• 3. A direct link to a trusted third-party is available (Requiring to fix https://github.com/pastelsky/bundlephobia/issues/389)

Context

I have been dreaming of this since 2019 https://trello.com/c/iLsZLqL3/1978-improve-docs-header. It's an important feature IMHO. When I decide to adopt a new npm package, I would systematically check:

• npm downloads stats
• bundle size
• contribution history
• issues history

Previous conversation: https://github.com/mui/material-ui/pull/33156/files#r897983362

Benchmark

• https://www.radix-ui.com/docs/primitives/components/switch, this is amazing, I feel like this helps gain trust from frontend engineers. It makes us accountable for all the crap bloat features you add to our modules.

Start with the referenced Autocomplete documentation page, the earlier pull-request discussion, and the Bundlephobia issue to understand the available approaches. Compare them with the Radix UI benchmark, then define which documented bundle-size outcome is achievable; done means the selected bundle-size information or trusted link is available on the relevant docs pages.