I am not entirely familiar with your model but, countless times, I have had to degrease and then re-grease. Here is the problem:
Almost all manufacturers of SLR lenses and RF cameras used too much damn grease on the helical. Nikon was one of the few who did not and you can get an ancient Nikkor 2/50 that still focuses smoothly and easily. But for the rest you are going to have to get at that helical and use lighter fluid and a soft brush to remove that gunk. WIth SLR lenses I dismantle the whole lens and remove all the filth, then re-grease. With some RF cameras, only the front element focuses and this makes life easy. But with some, like the Canon QL17 the WHOLE lens set moves forward and backward to focus. What I do here is remove the top and bottom and carefully squirt a few drops of lighter fluid onto a portion of the helical and work it in with the focus lever, then wipe with a Kleenex. This has to be done multiple times to do it right. Alternatively, I can fully remove the whole front section but this take much more time.
I think that I saw a focusing lever when I searched the net for a picture of the Karat 12. If so, the helical moves the WHOLE lens and not merely the front element. If it were solely the front element you could loosed the set screws around the front element, remove the metal ring, and do the work easily. If the helical moves the WHOLE lens set then you will have to see exactly where that helical is. SOMETIMES you can gingerly and gently squirt a little lighter fluid onto the helical without actually removing it. This requires patience and forbearance and repetition: remove a little gunk at a time and use a Kleenex to wipe the drips. After you squirt a little, move the lever fully to get the fluid throughout the helical and, again, use a Kleenex to wipe what you can. Oftentimes, this will be sufficient but a few days later, when all is dry, you just might find you have to do it again because you did not remove enough. If you have to ever re-grease because you removed all the original grease, feel free to use petroleum jelly, but very, very sparingly so as not to repeat the 'crime' of the manufacturers. Too little is better than too much: a couple of tiny, tiny 'drop' of petroleum placed in the center of the helical will worki it way into the whole helical. If you manage to get some lighter fluid between the lens elements you will have to remove the front and rear elements to wipe it out thoroughly, including the front and rear aperture blades (at all stops) and shutter blades, frustrating but doable.
All I can say is that manufacturers made a SERIOUS mistake (except Nikon) when they used so much grease. And, yes, I do adore cats, especially yours. - David Lyga