Formerly my Carl circle punch was half willing to get the job done – it left me with the arduous task of forcing the jammed mould up with a chopstick or pen (safer alternatives than scissors) after every punch. I knew I was paying the price for previously overtaxing it repeatedly with papers a tad too thick.
Scouting online for tips, I implemented the easiest by putting it in the freezer. After about an hour, everything remained status quo. I put it aside then later daubed on cooking oil to lubricate the contact areas. Right away the awkward position was put to ease, and normal slicing motion could resume. Alright, oil saved the day!