fix(chrome-extension): Bundle @clerk/shared to properly tree-shake - #4899

Description

If you look at https://unpkg.com/browse/@clerk/[email protected]/dist/esm/index.js you'll see that we end up with:

import { setErrorThrowerOptions } from './chunk-BGR6KYCZ.js';
export { ... } from './chunk-BGR6KYCZ.js';
import './chunk-V7OWHRAI.js';
import '@clerk/shared/loadClerkJsScript';

setErrorThrowerOptions({ packageName: "@clerk/chrome-extension" });

The unused import '@clerk/shared/loadClerkJsScript'; is problematic because inside is "remotely hosted code" that the Chrome extension store is flagging. In #4551 build flags were added and they work. But the unused imports are not removed during bundling.

So the fix is to also mark @clerk/shared not external and bundle it. Then tsup seems to be able to remove those unused imports.

Fixes #4886

Checklist

• pnpm test runs as expected.
• pnpm build runs as expected.
• (If applicable) JSDoc comments have been added or updated for any package exports
• (If applicable) Documentation has been updated

Type of change

• 🐛 Bug fix
• 🌟 New feature
• 🔨 Breaking change
• 📖 Refactoring / dependency upgrade / documentation
• other: