Describe the bug

Just spotted this is empty on html reporter case

This causes project color from config to be not loaded, e.g.

export default defineConfig({
  test: {
    projects: [
      {
        test: {
          name: {
            label: 'foo',
            color: 'black',
          },
        },
      },
      {
        test: {
          name: {
            label: 'bar',
            color: 'red',
          },
        },
      },
    ],
  },
});

• vitest --ui

• vitest --reporter=html

I think we should rework this better so that UI gets more than just serialized root level config. I have a similar needs of wanting to pass per-project browser.traceView to be available uniformly both on UI and HTML reporter in #10102

Reproduction

https://stackblitz.com/edit/vitest-dev-vitest-6yspi7fu?file=vite.config.ts

System Info

Stackblitz

Used Package Manager

npm

Validations

• Follow our Code of Conduct
• Read the Contributing Guidelines.
• Read the docs.
• Check that there isn't already an issue that reports the same bug to avoid creating a duplicate.
• Check that this is a concrete bug. For Q&A open a GitHub Discussion or join our Discord Chat Server.
• The provided reproduction is a minimal reproducible example of the bug.