My lawn tractor (bought used on EBay like the snowblower) is a TroyBilt. They do have a snow blower implement available but for new ones they want four-times the dollars that I paid for the tractor (and none used on EBay in local pick-up range for at least three years now..)
When I was looking for the lawn tractor specifically for mowing the property here, someone also had an old John Deere tractor with a snow blower on it listed at the same time as the tractor I bought. Problem was that the mower deck that the seller would ‘toss in’ for no additional cost was shot and at the time I needed a mower so I skipped the JD with snowblower/shot mowing deck and opted for the Troy Bilt with functioning mower..
And you know how it goes.. If I am going to replace either the snowblower or the lawn tractor, you never go for the same size, you go for bigger, so I would need to be looking at 28 inch or wider snowblowers (the JD is a 26” unit) and a tractor/mower with a deck wider than 42”... ;-)
My Craftsman snowthrower looks like the one pictured above, except it's a Craftsman that was purchased several years ago and runs fine!!
(The discharge chute is different then the one pictured above.)
BTW: I always use 100% synthetic motor oil in my yard equipment that use a gasoline engine!!!