Admittedly, in a rear toolpost, but for parting off I rig up a fairly steady gravity fed drip feed of lubricant for my ancient HSS blade.
I tried a carbide parting tip in the front toolpost, and had just the problems that you have, so reverted to the inverted HSS blade in the rear toolpost.. (And the swarf falls out so that bit does not clog)
I made a rear toolpost for my ML7 and then had fewer problems parting off.
A carbide tip SHOULD produce two streams of swarf, from the grooved top, so should not clog.
It works so well for me that I now use PCF (0.0025"/rev ) when parting off, because both are narrower mthan nthe cut.
Daft question, but the tool is square to the axis, so that doesn't rub on the side of the cut?
You do need to keep up a steady feed, so that the tool cuts rather than rub.
May be, being carbide, it needs high speed and feed to generate heat at the cutting edge, to soften the metal.
Don't know what you are cutting, but the swarf looks a bit small for steel, or is it cast iron?
Cast iron can be chilled on the outside, and so, hard, which needs to be driven through to the softer core metal.
Either way, try to learn how to use both hands to apply a stead feed rate.. That is a skill that will stand you in good stead on all jobs.
It may cost you a few tips, but experimenting is how you learn.
Experience allows you to recognise the mistake, the next time that you make it!
Howard