So...okay.
So given the canonical existence of the steam and lightning mechanical horse, I can't strictly say no to something like a mechanical bull or rhino. Or, more accurately, rhinoxen, as rhinos are different from rhinoxen. But, well, the one canonical example of such that we have, is the daemon-machine created by the Dawi Zharr to give to that one ogre tyrant. A rhinoxen made of clockwork gears and stuff isn't impossible, I'm not going to say that, but that level of strength and that level of complexity is a pretty wild departure from where things are going with the engineers at the moment. They'd need to complete a few clockwork projects to even begin formulating something like that.
Goat ones are, kind of the same problem? Plus, if you're going to suggest mechanical anything of human make to try and give en masse to the dwarfs, then that's already a nonstarter. Zakumgi creations like a mechanical goat are just not likely to be accepted, let alone created properly in the first place.
Bird machines are not really necessary at the moment because you've already got multiple flocks of bird bombers? It's a lot easier to breed and train the later than try and make windup expensive labor intensive mechanical birds to go and do the same thing. Larger birds are even more of an issue. Part of the wonder of the wing-suits is that they can flap around and do all that, but they involve canvass and wood with metal reinforcements. Going full metal and such is not likely to be nearly so easily possible. Gyrocopters and gyrobombers exist, yes, but require active pilots and training and are difficult to make/maintain even for the dwarfs, and this sounds like a worse and more difficult to control version of those.