At least for now. This one can seemingly do everything. It’s the Cross Tech 3+.
Update: Another thing this pen can do, apparently, is become useless fairly quickly. The coating on the stylus nub that made it glide smoothly across the screen started peeling off within a week or two of use. Soon enough, the nub started getting stuck when dragging across my phone’s screen, making it difficult to use. In addition, I had trouble getting the mechanical pencil to remain functional. Every other time I tried to use it, normal writing would push the lead back up into the barrel and I’d have to replace it. Alas, the search for my pen continues.