Guys, if anyone has the same problem as me, here is the solution! Thanks to Quan Nguyen from the support team of codeweavers.
Here are the items you should delete to start fresh:
'World of Tanks' application in your Mac's main Application folder.
'World_of_Tanks' folder in Documents
Hidden 'World of Tanks' folder in (your Home folder>Library*>Application Support).
*To get there: click on Finder, then click the Go menu and then hold down the option key on your keyboard until you see 'Library' appear under the Home item, then click it and the Hidden Library folder will appear in a Finder window.
'com.codeweavers.worldoftanks.plist' preference file in Hidden Home Library folder>Preferences>.
Finally, in the hidden Home>Library folder, select the 'Saved Application State' folder. Then, locate and delete the 'com.codeweavers.worldoftanks.savedState' folder. Note that this folder may not be present depending on the settings on your system.
Once you've removed these items, you can install the latest client (v.1.0.25 wrapper for Mac) from the World of Tanks website and then launch, update patches, etc., then see if you can proceed to log in.