I am not sure what you are referring to as a "tip". If its the jag, that screws into a ferrule glued, and/or pinned to the rod, then it should screw out. Lefty-Loosey; Righty-Tighty.
The ferrule is often glued. That is not enough to hold it on the wood. It has to be cross-pinned also.
As to the jags, DON'T use those jags that have the threaded portion cut out of brass. They will just fail and the jag will break off in your barrel. Throw those brass threaded jags away. Instead, buy a new cleaning jag that has a steel threaded shank in the back of it. The jag will be of brass, of course, but the steel threaded shank will not break off from use.
You want a "Stepped " jag, where the first ring is approx. .030" smaller than the bore diameter of your rifle, then the second ring is another .010" smaller than that first ring, and the third ring is .010" smaller than the second.
This allows your cloth cleaning patches to ride OVER the lands, so it does not push the residue and crud down into the back of your barrel. Instead, the stepped jag allows the cleaning patch to travel all the way to the back or bottom of the barrel, and then the patch blouses out and is caught by the back cut edges of those rings, and pulled out of the barrel. In blousing, the fabric not only closely wipes the lands( bore) but gets down into the grooves of the rifle to remove the crud there.
If you allow crud to build in the corners of your rifling by NOT cleaning after every shot, then consider using a Bore Brush to push a cleaning patch down the bore and pull the crud out. The bristles on the bore brush will push through the cotton fabric of your cleaning patch, and scrub out the corners of the rifling, loosening the crud so it can be pulled out by the patch.
Track of the Wolf sells new ferrules, and all the proper jags for your gun. Don't hesitate to buy a spare cleaning jag, to have on hand.