Motherboard Compatibility (Erica 3 HP)

I recently purchased an NZXT H5 Flow case, but from what I’m hearing, my motherboard isn’t compatible for some reason. I have an HP Pavilion TG01-1070 desktop and was looking to upgrade my PC. I purchased, as mentioned before, a new case alongside a GPU and PSU, however apparently my PC’s Erica3 motherboard apparently uses a non-standard connection that isn’t compatible with any cases besides HP. Is there any way for me to continue utilizing this motherboard in this PC case without having to purchase an entirely different motherboard? I’ve heard that I can purchase an “adapter” or “power-switch” but I wouldn’t know what to search to find the right one.