I'm not sure about the layout of the lines and that may be a big factor
in finding/fixing this clogged system.
I can also go into the garage and post the model/make of the vacuum.

Odds are you picked up something that partly clogged the pipe(s). Kids'
toys are usual suspects. They get stuck in a bend but the toy itself
doesn't cause much of a problem and you don't notice anything wrong. But
then other "stuff" gets hung up on the toy.

Anyway, one thing that often works is getting a shop vac and apply suction
to the pipes where the "taps" are. You might even apply some pressure at
the bottom while applying suction at the top.

Our previous place had a central vac and I had the devil of a time when it
became clogged. I think the last thing that "worked" by blowing the
obstruction out with a reversed shop vac.

To me, the main advantage of the central vac is that the motor noise is
"someplace else." Accessories can be quite expensive (often more
expensive than a "regular" vac.)