I am amazed at how much people fret over "is the brand name of my tractor going to be around for the next XX years". There is no brand that has been around for 50 years except John Deere that hasn't gone through acquisitions, take-overs, mergers, name changes, re-branding, etc. It is a constantly changing environment.
So if you are worried about your tractor being supported by your local dealer for the next 50 years, buy a John Deere (which are pretty inferior tractors in the compact tractor market), and don't bet they will carry parts for your tractor 20 years down the road from now.
Tractors are pretty dang reliable. They don't need a lot of parts. I have owned various tractors over the last 40 years and have never bought parts or got my tractors serviced or repaired from the tractor manufacturer's dealer. The few times I have needed service, I have taken them to a small independent repair shop, which in my opinion, runs circles cost wise and quality wise around any dealer's service department. If he is a good independent dealer you will be amazed at how adept they are at finding what you need to fix almost any old tractor.
My brother in law owns a couple old, dead named tractors (Oliver, White). He doesn't use them much but they still run fine, and has little problems getting whatever he needs to keep them running. I have owned an old Ferguson TO35 (probably 1955 vintage) for the last 40 years. 5 years ago I had no problem getting everything needed for a complete restoration and engine overhaul. I never set foot in a MF dealer to get anything either. I ended up needing a new engine block, and I sourced it from a tractor recycling yard 1,000 miles away. If something like the starter goes out, I take it to a starter repair shop and they'll fix it. If the fuel pump ever goes out, I'll install an electric fuel pump.
I ran a grey market Yanmar for 15 years (my neighbor is still using it). An American Yanmar Dealer would turn there nose up and wouldn't help at all if I ever needed parts. but it has never needed anything other than air and oil filters (NAPA has them). I broke a FEL hydraulic line once. A local hydraulic shop made a new one. If it does ever need parts, that's ok, because it is no problem to find the few parts one might need online. A 100% engine overhaul may be tough, but it would cost more than the tractor is worth (which is true for most any compact tractor)
I have seen Belarus tractors set around and rust away because they supposedly can't get parts. Do an online search and see how many sources there are. (that doesn't change the fact they are sort of a crappy tractor not always worth fixing)
I would have zero reservations about buying a 15-20 year old Century tractor if it were in good shape. Getting parts wouldn't scare me at all. Having a dealer and a current brand name are security blankets that don't mean nearly as much as people think they do, unless you the kind of guy who is unable to change the oil without running to the dealer.
If the Branson Brand were to be uprooted and buried by TYM, that wouldn't be a cause for me to sell my Branson either. It is all just part of what happens in the tractor industry.