Text input is broken on web

Text input has really weird behavior using the eframe template in web. ~~For instance, copying/cutting text is not allowed (This also happens in https://emilk.github.io/eframe_template/).~~ Some other times, text input doesn't work at all except for the tab or enter keys. Surprisingly, this issue doesn't happen in the egui demo (https://egui.rs)

I'm guessing there's a problem with the index.html wrapper.