Finally I've figured out how to properly embed HTML5 version and now we've deployed HTML5 and MacOS versions on itch. Main issue was that I primarily develop on mac and the only browser which seems to work is Chrome. And in the end it doesn't work really fine, taking ages to load a game. Maybe there's some issue with how I configure Godot export options, but it looks pretty straightforward...

So if you wish to try a strategic solar system delivery game, then look no further and try ours: https://ldjam.com/events/ludum-dare/53/space-haulers-1

P.S. Unfortunately due to my stupidity I've clicked on "Extra" button when editing game page today and now it's not a JAM game, but an EXTRA game... I hope that this could be fixed.