the record changer was made "in-house" by Zenith. It is a belt-drive changer, and does not use an idler wheel.
1) That model uses both a belt and an idler wheel. It is incorrect to state it doesn’t use an idler wheel. It clearly does. Look under the chassis if you don’t believe me.
2) That changer is quite rare and the spindle is unobtainium as new old stock. Best bet is to buy another parts unit to get an intact spindle.
3) You posted a photo of your unit in an earlier thread. Someone modified your headshell and eliminated the factory ability for the stylus to rotate. Poorly advised modifications that eliminate factory functionality (yours apparently doesn’t have a correct Zenith cartridge) will reduce the resale value of your changer significantly if you are just trying to fix it up and flip it to cash in. Check and see if an earlier owner changed the cartridge to something non-stock as somebody clearly tinkered with (and may have butchered) your changer’s head shell.
4) If you bought it just to fix it up and flip it (per your AK profile) you might want to cut your losses and sell it as a parts unit now. Otherwise, you need to buy another parts unit, transplant a non broken spindle and correct unbutchered head shell (and perhaps a Zenith cartridge) just to get it back to factory stock. Plus you will need a new idler wheel, new belt, new motor mounts, new platter grommets, RCA cable, power cord conversion (since it is a console pull and likely uses Zenith proprietary power and audio connectors), motor rebuild and clean and relube the entire mechanism, platter bearing and controls, as well as the hard to reach velocity trip friction pawl under the cam wheel.
These are very high quality changers, but frequently need extensive work to return them to their former properly functioning glory.
EDIT: based on my closer examination of photos of your changer, the prior owner of your changer installed a non standard aftermarket cartridge with a lever wand to change from 33 to 78 styli. They also discarded the original rotating stylus selector knob that protruded through the top of the head shell and put a piece of aluminum or tape over the hole in the head shell. That unfortunate modification will negatively impact your expected resale value (since you are an online flipper). The incorrect aftermarket cart now installed may not track correctly at the 2 grams Zenith specified.
You can buy a correct cartridge and a new old stock stylus selector, but you have a project on your hands that will require time, patience, cleaning, relubing and significant additional cash outlay for numerous parts to get it back to stock, properly working condition.