Doug, I'm really hoping that the '63 is the similar to my '60. If not someone needs to jump in and save me.
Here are some photos that may help. These were actually taken from different windows as I did them, but they show the steps.
The first is the original plastic window someone put in. I was putting glass back.
Note the dried up glazing strips. The grey stuff that does not quite reach around the perimeter anymore.
After cleaning up all the tape
or sealant residue, put in the bedding tape.
After the tape is in place, remove the tape backing, and carefully set the glass in place. You only get one clean shot at this. Avoid the part I did with my fingers.
Now take the glazing strip
and fit it into place mitering the corners.
Some people add a little Parbond
to the corner miters as well. Then you're done.