How would you be 'bad mouthing' the company for looking into alternatives to run it on a Mac? That's just absurd.
I'm not sure why the software won't run in ARM Windows, that does seem strange. I too rely on some niche Windows x86 only software for my work (Sage Payroll) and I run it just fine in Parallels running Windows for ARM. I can't remember but there might be something you need to do for your Windows for ARM installations to enable x86 emulation, it's been a while since I set mine up.
Another alternative is to look into something like a Wine wrapper. Have a try with Whiskey (
https://getwhisky.app/). It's designed for game porting as it uses Apple's new Game Porting Toolkit that's part of Sonoma. Maybe this might work for this app. Everything's worth a try!
If that doesn't work, there are ways to emulate Windows x86 on Macs but they're obviously slower e.g. QEMU.
If none of these options are working then you might need to look at some additional hardware. You could potentially get a super compact Windows laptop (or headless computer) and take it with you, connecting to it via remote desktop software. I have something like this setup for our office as we require an ID badge printing software that's Windows only. I have an Intel Mac Mini that runs VMWare Fusion which has a Windows 10 virtual machine running just this software. Doesn't have to be a Mac Mini, of course, but I like to be able to Screen Share to the main machine to manage the VM but it's set up so that anyone in the office can access the virtual machine through a VNC web based client. The ID badge printing software is designed to run on one PC but we wanted anyone in the office to be able to use it, which is why I came up with this workaround.
Where there's a will, there's a way.