How to update/upgrade from older version?

I am using yarn 1.22.19 with node 14.19.1 (actually using nvm to be able to use multiple node versions, but I'm not sure this is important here). I assume yarn installed corepack 0.10.0, because I definitely didn't install it manually myself.
How can I upgrade to the latest version 0.13.0? Do I need to uninstall yarn first? I tried with npm and it fails with the following error:

npm WARN rm not removing /home/digeomel/.nvm/versions/node/v14.19.1/bin/yarn as it wasn't installed by /home/digeomel/.nvm/versions/node/v14.19.1/lib/node_modules/corepack
npm WARN rm not removing /home/digeomel/.nvm/versions/node/v14.19.1/bin/yarnpkg as it wasn't installed by /home/digeomel/.nvm/versions/node/v14.19.1/lib/node_modules/corepack
npm ERR! code EEXIST
npm ERR! path /home/digeomel/.nvm/versions/node/v14.19.1/bin/corepack
npm ERR! Refusing to delete /home/digeomel/.nvm/versions/node/v14.19.1/bin/corepack: ../lib/node_modules/corepack/dist/corepack.js symlink target is not controlled by npm /home/digeomel/.nvm/versions/node/v14.19.1/lib/node_modules/corepack
npm ERR! File exists: /home/digeomel/.nvm/versions/node/v14.19.1/bin/corepack
npm ERR! Remove the existing file and try again, or run npm
npm ERR! with --force to overwrite files recklessly.

The issue names no repository files, tests, or entry points. Start by reproducing the npm/Corepack installation error with Node 14.19.1 and Yarn 1.22.19; done means documenting a verified upgrade path to Corepack 0.13.0.