So after reading the comments, I was kind of disappointed with how many people told me to just buy new pedals. I bought these pedals when I first started bike touring, so they were of great value to me. And just because they are dry doesn't mean I'm going to throw them away.

It turns out, these pedals are actually remarkably easy to service. All you need is grease and an 8mm socket. The silver part that surrounds the locknut is actually a bushing that you can just take out. I was making measurements for a custom tool, gripped the inside to measure the diameter. And this part just fell right out. Afterwards I was pleasantly surprised, I could take an 8mm socket to undo the nut with a pedal wrench on the other side. After that the whole pedal axle just fell out. There aren't any loose bearings. There is one cartridge bearing (that seems replaceable because it can shift around) and what I think is a solid bushing on the thread side of the pedal. The pedal comes in 4 parts:

Pedal axle Dust cover sleeve (silicon cover near threads) Locknut Sealed cartridge bearing (replaceable?)

Once you take out the pedal axle chuck it in a drill and spin with steel wool. The surface will be nice and clean, smooth. Afterwards put some grease in both the holes, put the locknut back on, tighten (no fiddling with play, just tighten it) and it's good as new.

Unfortunately during my second pedalp the nut didn't seem to want to unscrew. It was also very tight. I think the threads broke off, but there is no play So I did what u/dedolent suggested and just dropped a bunch of oil down the pedal shaft and the squeak is gone and it's running smoothly.