Getting My Modlist from Crispified Computer

My computer finally carked it. 9 years, but it's finally done. Vale, good buddy.

Because it was giving hints of imminent doom, I managed to move copies of my saved games onto a USB stick (I also grabbed documents as, you know, wedding photos, birth certificate scans for the kids, documents that show that I've got my citizenship). However, what I did not have time to get was a list of the mods I've downloaded over the last few years. Some are easy to remember; the water mod, a suite of QoL ones, and nuclear weapons. But the rest I can't remember. Could be the fact that there's about 40 mods. Could be my rapidly approaching 40 brain. Could be the Rona brain fog I'm currently experiencing. Either way, it's kind of a long list.

I'm wondering if there is any way that once I get my new rig in and download Steam, whether it will have a record of my 'Subscribed Items' from my old computer. Alternatively, when I move the files across, whether it may show the mods that I've previously had on that save, allowing me to get a list from there.

Any advise would be appreciated.