Code splitter does not support the method shorthand syntax #8623

Which project does this relate to?

Router

Describe the bug

While reviewing the usage of TSR in another project, I found out that method definitions in router properties were not being code-split by the Vite plugin.

This leads to code being unexpectedly bundled in the entry chunk.

Complete minimal reproducer

https://stackblitz.com/edit/github-atu775if?file=src%2Froutes%2Findex.tsx

Steps to Reproduce the Bug

Simply use the method syntax in route definitions, the function and its bindings will not be split into a separate module:

export const Route = createFileRoute('/')({
  component() {
    return <HomeComponent />;
  },
});

Expected behavior

The method syntax/method definitions in route definitions should be supported by the plugin's code splitting, just like other functions:

export const Route = createFileRoute('/')({
  // function expressions works
  component: function() {
    return <HomeComponent />;
  },
  // arrow functions also work
  component: () => {
    return <HomeComponent />;
  },
});

Screenshots or Videos

No response

Platform

• Router / Start Version: @tanstack/react-router@1.170.41
• OS: Windows
• Browser: Chrome
• Browser Version: 154.0.8037.98
• Bundler: Vite
• Bundler Version: 8.3.3

Additional context

I have opened PR #8459 to fix this bug