Both Web and the v1.0.1 have this issue, though the web browser version progresses a bit more slowly.
Okay, so I went ahead and retested both versions of the game… and the input methods for each (at least on my end) seem to be working fine.
Considering this is the first time I’m hearing about this issue, perhaps it’s something unique to your device? Frankly, because I’m not able to reproduce the problem myself on either platform, that’s the only conclusion I can come up with as of now.
So sorry you ran into this! I wish I was able to help out more.