I have used two-jaw pullers, and pitman arm pullers, and tie rod end pullers. Each one, by size and design, will often be the best tool for the job, depending. I've broken tools like you are using, without successfully removing the part.
Heat or shock often work, in conjunction with a puller. If you tap the side of the pitman arm, sometimes what is wedged in it will come loose, especially if it is under tension when you strike the hammer. Heat will expand the pitman arm, maybe enough to get the tie rod end to dislodge. It Appears that the tie rod end boot is trashed by the tool, so if it is damaged by heating, nothing is lost at this point.
I have collected half a dozen pullers over the years, having been frustrated by any number of such tasks, without the right tool for the job. Good Luck!