Revisit hot reload browser refresh script injection

Our hot reload mechanism relies on the `aspnetcore-browser-refresh.js` script being injected into the webpage so the browser can automatically refresh with hot reload changes.

We currently do this with a special middleware that searches for the last closing `` tag in HTML responses and injects a `` element just before it. However, this mechanism is very fragile because it fails when the response can't be easily parsed (e.g., response compression is enabled, the closing `` tag is split between response stream writes, etc.).

We should consider an approach where we somehow reference the browser refresh script directly rather than using this script injection middleware.

## Additional considerations

Make sure we also address the following issues:
- [ ] https://github.com/dotnet/aspnetcore/issues/33068
- [ ] https://github.com/dotnet/aspnetcore/issues/39715