You've got it covered with the backups. The gaming computer, of course, must not have done a "free up space" on the file you hope to recover. Also, OneDrive will keep a file in its Recycle Bin for 30 days max (maybe just 3 days, if the Bin is full)...
Restore your OneDrive files
I'm glad your syncing problem is resolved. I did have an "x" icon on one file once, myself, but can't seem to find it now.