Heat the bearing up good and let it cool then try a puller....That's a tough one to do. You might even have to put pressure on the puller, then heat the casting to get it out....Best of luck Tom.
I assume the bearing you are trying to get out of the bottom of the hole is similar to the bearing shown at time stamp 0:39 in your video? I cannot clearly see what the bearing looks like in the picture in your video showing it at the bottom of the housing. But if it is the same are all of the rollers still in it? If so wait until you get the new shaft and just put it into the into the bearing by itself (with out assembling the whole system) to see if it might still be useable, hopefully you will not have a lot of play in the bearing. If rollers are missing from the bearing try replacing them with other rollers from your other bearings. Good Luck!
It is a needle bearing. And I had your same thoughts just to leave it there. But I think there was a little bit of water in the bottom of that hole and a lot of dirt. From what I can see the needles are all rusted and clogged with dirt. I'm afraid I've got to get it out.