The navy of a victorious White Russia

What kind of navy would a Kolchak-led government build if the Bolsheviks lost the Russian Civil War?

After consolidating power, it would probably rebuild along Imperial Russian lines because Russia's seaborne trade passes through strategic choke points that require naval influence.

Naval reconstruction would follow political stabilization rather than precede it. The enduring driver is geography: Russian trade must pass through natural choke points, so maintaining a Baltic fleet gives the state at least some ability to contest or influence access instead of surrendering control entirely to others.