Originally, the two parts are soldered together, and that's how
I'd repair it.
If it were mine, I'd probably just paint a little bit of soldering fluid down into the crack & then hit it with a soldering iron, and hope like **** there's enough solder already in the join to reattach the two pieces. I'd actually attempt to do this with the arm in place as it is now, and gentle push the arm down into the flange to realign them the best I could.
You'll get a putrid smell doing it this way because the outside edge of the flange is where the ball bearings ride, & the heat will burn off the old grease, but the smell will disappear in time. Once it's done, you'll then have to force some new grease down into the bearings.
This probably sounds like a stupid way to do it, but it will be far easier in the long run than the alternative- which is pulling the whole machine down completely.
When I pull down a 101, I start by removing the lid stay from the lid first, and then I take out all the hinge screws & remove the lid completely. I find it makes it much easier to work on the machine/base without the lid flapping around etc, plus you can get to the back screw of the lid stay a little easier by putting the machine on it's side & attacking the screw from the back.
Once the lid stay is off, you can them remove the tonearm board. You'll need to remove the screws that hold the board & the 3 screws that hold the tonearm. You dont have to worry about nuts falling off etc because the 3 screws go into threaded holes in the flange of the horn neck.
You should then be able to lift the board out by drawing the front right corner up first & wiggle the board out towards the right side of the cabinet. You need to do this so the board clears the left side & rear strip of wood that covers the edge of the metal horn. The other 2 cover strips of wood are attached to the board. Once the board & tonearm are out, then it's just a matter of pulling down the tonearm, cleaning everything & making the repair.
You'll get a much neater repair by removing the tonearm & soldering from the underside of the flange, but it's nothing short of a nightmare getting the arm out, and it's even worse reassembling the tonearm because the bearing are a real PITA to get back in (unless you've got 3 hands

)
If you're going to pull it down this far, you might as well replace any felt that needs replacing, like where the motor board sits & on the underside of the wood strips that cover the edge of the horn.
There's also felt that sometimes needs replacing under the horn etc, which prevents the horn from rattling, but you need to remove the horn to get to them all, and you cant remove the horn unless you remove the remaining cover strips attached to the cabinet, & it's almost impossible to remove those without damaging them in some way.