If you are afraid of a chain breaking pulling a small tree. You need rethink the size of your chain.I suggest standing back around the auger anyway, but it seems like my parents want to stand there and watch and I have to tell them to back up. It isn’t a forgiving piece of machinery.
Yours is a bit bigger than ours, which is a 45 HP. I’d say its a medium sized one. It does have a front loader that will lift the tires. Might try that this afternoon as it’ll only take a few minutes. Yesterday we also used it to dig a hole to replace a dead shrub in the flower bed of the house. No rock there and the thing dug nicely.
We also used it to pull an unwanted tree out of another flower bed. It was one of those trees that grow those spiky burrs that’s not good for anything, taking up residence behind a crepe myrtle. Wrapped a chain around it, attached it to the bucket, lifted it up and went backwards. Tires spun for a couple of seconds and the tree came out, roots and all. I prefer using ratchet straps instead of chain since chain can break and go flying, but it worked.
Breakout force of your loader is likely around 2k pounds. Iirc 1/4 grade 43 chain is 2600 lbs working