First, welcome to the forum.
The Fluke 8060A have a known problem with leaky capacitors. They leak from the bottom bung and you cannot tell from visual inspection. There are many threads here on the leaky 8060A capacitors with pictures.
If you were measuring high voltage, there is a chance that the MOVs in the 8060A became damaged. They should measure open circuit resistance. You can measure in circuit first, then desolder to verify.