The windows do move freely.
Hello there!
Thanks for reaching out to us. I can't identify your hardware from these photos, unfortunately. Do you have a version of this operator that's in better condition? We would need to see it removed from the window, along with a clear view of the link arm and the installation hole patterns. I know it may not be possible but I have to ask anyway.
At the very least, can we see a clearer shot of the installation hole pattern, on the top and bottom tabs? That's an important detail but is obscured in these photos so I'm afraid I can't make them out.
Thank you for getting back to me! I've made a list of operators on this page with similar installation hole patterns. Look over the specifications for these parts and compare them with yours to see if one matches what you need for this repair.