I followed this video and Then ran an exclude after and was able to pair mine. I'm not sure about the dome, but I have some gocontrol contact sensors that I had to google the reset and then remove the battery, place my hub in discover and pop the battery back in and that went right into pairing mode if you reset them. I hope that helps? It's super frustrating. I've been there.
Can I assume you tried to add it is a Z-Wave device? Assuming that's what it is, of course. (The Dome certainly is. GE/Jasco makes a Zigbee switch too, but the Z-Wave ones seem to be far more popular.) I'm assuming Wink didn't make you choose what protocol of device you were adding, but Hubitat does. Sounds like you may have chosen Z-Wave given that you tried a general exclusion on Hubitat, but I figured it was still worth asking.
Otherwise, the above advice is certainly good! If you haven't tried already, it also can't hurt to restart your hub (actually shut it down and leave it off for at least a few seconds, then turn it back on). Rarely, I've heard people write about radio problems that get resolved in that way. Just do it politely (from Settings, not yanking the power) and don't go crazy with this (only try it once).
When you exclude the device in HE, open a seperate HE tab and watch the logs. I would run the exclude more than once watching to make sure you get an exclude succeeded message.