Colchicine mechanism of action in acute gout
Ref. KDT. Page. 214
It does not inhibit the synthesis or promote the excretion of uric acid. – Direct lines from Tripathi, guides may lead you wrong. But they don’t have an effect 
 
Colchicine MOA
The first two points is how it acts in acute Gout

Colchicine does not affect phagocytosis of urate crystals but inhibits release of the glycoprotein and the subsequent events.
By binding to fibrillar protein tubulin, it inhibits granulocyte migration into the inflamed joint and thus interrupts the vicious cycle.
Antimitotic: causes metaphase arrest by binding to microtubules of mitotic spindle.
Increases gut motility through neural mechanisms
Inhibition of release of chemotactic factors
Binding to tubulin and inhibition of leucocyte migration
Promotes metabolism of urate crystals
Inhibition of leukotriene B4