the center bearing got so bad on my tractor that the front wheels would shimmy when going down a blacktop road.
I replaced the center axle bearing on my old to-35 as this loose bearing will place more pressure on those side support arms, (from in front of foot rest to axle). Need to check those bolts that go through the axle supports and axle,
they can wear and that places even more pressure on your center bearing. All the bearings and support arms work together. All bearings should be replaced together.
you also have bearings in the front wheel axles that turn, arms (up down) I do not know the name of the part, but each front wheel axle goes up and turns in this part, tie rod ends connect to this part of the axle. I also replace the bearings in both sides,
my old to-35 now drives and steers good, as I also tighten up the play in the steering box.
good luck, some of these parts do not come apart easy as they have been together for many years.
sorry I do not know the correct name of each of the parts. Just jack it up and feel of each part, keep replacing parts until you no longer feel any loose play,
######If you lube the center support bearing only use spray graphite, as you do not want to use any lube that will attract dirt.