I see in the comments people calling it a 'hoof' tip but that type of tip shape doesn't exist in the list of possible tips to choose from on websites like Digi-Key.
Hmmm, I assumed OP was looking for a spoon. Maybe because I assumed a bevel would not be hard to source.
My US Digikey site lists "hoof" as well as the equivalent "bevel" in their dropdown criteria/menu. But...
The curious thing is that I find no examples of hoof/bevel tips for the WES51. 21 tips at Digikey, no bevels. Conicals, screwdrivers, and "flat" tips. But "flat tip" doesn't seem to have a well-defined meaning? The only "bevel" tip I have found is made by Plato, a third party, found at All Spec. It looks to be part of a 3 tip set, conical, bevel, chisel and costs $35.00.
"Flat tip?"
This is way confusing. The flat tip I copypasta'd in my first post. If you google that one, the pic shows the bottom, and it looks like a spoon.
https://www.all-spec.com/Catalog/Soldering-Rework/Soldering-Desoldering-Tips/Soldering-Tips/ETCC-12200There are other "flat tips" that show a diagram that looks most certainly like a chisel. The flat spot is depicted as having a straight flat edge on the end.
https://www.all-spec.com/Catalog/Soldering-Rework/Soldering-Desoldering-Tips/Soldering-Tips/EW-511-50391 This one must be a mistake?
Digikey lists only 4 flat tips, and they all look like bevels. The sell them only in super fine, really fine, and big.* No wonder people love their chisel tips. If this is what you grew up on, you'd think bevel tips are useless.
I bet this is all clarified in the Weller catalog... I started clicking through it, and well even I don't have the time in my day to wade through that PDF.
*For me, personally, I have no use for the super fine bevels unless they are tinned face, only. A regular needle-size bevel might as well be a conical or a screwdriver... or a little unicorn. Esp if it's the tapered/conical base shaft, like these. I see a bunch of useless tips, here. The ETCC "big" is the only one I would be inclined to try; and even here, the geometry/angle is pretty bad. If you want a good hoof, you might not get any with the WES51.
Germany = screwdriver heaven, Japan = exquisite bevels?
The best tip shape for given things may very well depend on what color station you buy.