You can repair the points on fine tweezers like this a number of times using a sharpening stone. Press them on the stone to bend them back as close as you can, then use the stone to restore the tip you want. You can also make them finer or give them somewhat more complicated shapes in this way with a bit of practice.
I was ordering some new ones for a laboratory once and decided to first see what I could do with the roughly 40 damaged ones. Most were recoverable.