I have one of those, a 143302 from 1964 and an externally identical looking 170000 from 1966. The 64 engine had like yours, I just had to cut the primary wire to the points and splice in a new one because the insulation was brittle and grounding out before it got from the coil to where it ducks under the flywheel. On the 66 engine it has a 2 leg coil, that one needed some rtv on the plug wire real close to where it protrudes from the coil body. Looked like teeth marks.
They both took the same points and condenser, they look just like the magna matic points on my '72 8hp cast iron Briggs engine on my air compressor. looked the same, even though under the flywheel instead of outside of the eng/ like the cast iron engine is.
On that engine I found some new old stock ones on ebay for around $7 delivered. On the 64 engine I was able to file and adjust the points, on the 66 engine they were pitted beyond hope. I went to the small engine dealer 3 miles from my house and paid $40 for the same set of points and got a condenser for this one too..oem Briggs and made of chinesium. definitely highway robbery. I'd have been even more pizzed at paying that if the engine wound up to have been junk.