If your washer has an auger on top of the agitator, and if the auger
is what is making noise, then changing the agitator dogs inside the
auger (under the cap or fabric softener dispenser, if present) will
probably quiet it down. No, you don't need the spanner tool for that
repair. Dog problems usually show up in agitation, not spin though.
In agatitation, the worn dogs will not grip the auger, so that you
won't get ratcheting action. I can't imagine noise coming from the
auger in spin though.

One test to try would be to remove the agitator and then put the
machine into spin mode. Does it make that noise you spoke of? I am
going to guess here, that this is a somewhat uncommon gearcase problem
with stripped gears inside. That's a wild guess. You would almost
have to look at the clutch to see what it is doing. When in spin, if
the clutch is making some wild jerking motions, then the gearcase
needs to be replaced. You don't need the spanner for this either.