Trusty OLD table saw. Old is the operative term. I'd start by cleaning out (non flamable solvent might help since the clog has been cooked in place for years. Then comes lubricating the arbor bearings with a dry lube, then checking for runout with a known flat blade in place. More than a few thousanths suggests bearing wear problems and no matter what else was going on, I'd replace them. Lots of good suggestions here. Personally, next I'd remove the motor and take it to a local motor repair place and have them look it over--capacitor, brushes, coils. If it is repairable, have them do it, or consider a replacement. Compare repair cost with a new replacement motor with max 110v hp motor that fits.
I'm not really interested in doing my own repairs at this point in my life, did enough of that when I was young and poor and drove old cars, so I'd rather pay a little for someone skilled to do it. But if you're comfortable doing it yourself, most of the likely problems are fairly easy to fix yourself, and there are plenty of helpful YouTube videos to guide you.
It is unlikely that you'll get as good a saw at a big box as what you'll have for the price of the repair.
The more I do, the less I accomplish.