After several hours of messing around with the install script for World of Tanks Blitz, I finally realized that I had to reinstall the Wine Steam runner. Even after that, I had to manually go into Steam and install the game myself, since the script still didn’t work. And then, after the game was installed, it simply refused to start, for unknown reasons. None of the community’s advice on the forums worked.
Compared to Playonlinux, I was able to get the game up and running by simply installing it manually.