now,... that I have watched your video, I have a carpet machine, its a hoover with a gallon tank for the hot tap water, and cleaner. used it on carpets and used cars.You know maybe I should have. But now it would require a new water pump gasket. Maybe next time.
what works better than that:
simple green, in various dilution strengths.
and for pet stains. = "Woolite Pet stain remover +oxy"
saturate, scrub with a small fist sized brush, and vac up with a shop vac. ( a 4hp, ~6 gallon).
my dog pukes often.
food / water/ bile yellow goop. (so I kind of just leave the 5 gallon shop vac in the living room behind a chair. = no head on the hose and it has enough force to pick the Berber off the underpayment.
the hoover does not suck that hard, so it kind of leaves things damp. and you need a dehumidifier to get more.
(one can run one of those inside a car, just need to put the electric cord in through a window and tape it shut.)