Migrating from 13.8.1 to 13.9.6 throws `Please update your global install of Nx`

Updating from 13.8.1 to 13.9.6 didn’t throw any errors

Running migration 13-9-0-update-decorate-cli
Successfully finished 13-9-0-update-decorate-cli
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Running migration 13-9-0-replace-tao-with-nx
Successfully finished 13-9-0-replace-tao-with-nx
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Running migration rename-build-to-webpack
Successfully finished rename-build-to-webpack
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Running migration rename-execute-to-node
Successfully finished rename-execute-to-node
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Running migration update-package-to-tsc
Successfully finished update-package-to-tsc
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but as I want to run any nx command I always get the errors

Please update your global install of Nx
- npm install -g nx

The global install of nx is of course correct.

I had to run npm install -D nx. Then all nx serve commands are working again. But still I do get always the output

Please update your global install of Nx
- npm install -g nx

Environment

Node : 16.14.0 OS : darwin arm64 npm : 8.3.1

nx : 13.9.6 @nrwl/angular : Not Found @nrwl/cypress : 13.9.6 @nrwl/detox : Not Found @nrwl/devkit : 13.9.6 @nrwl/eslint-plugin-nx : 13.9.6 @nrwl/express : Not Found @nrwl/jest : 13.9.6 @nrwl/js : 13.9.6 @nrwl/linter : 13.9.6 @nrwl/nest : 13.9.6 @nrwl/next : 13.9.6 @nrwl/node : 13.9.6 @nrwl/nx-cloud : Not Found @nrwl/nx-plugin : Not Found @nrwl/react : 13.9.6 @nrwl/react-native : Not Found @nrwl/schematics : Not Found @nrwl/storybook : 13.9.6 @nrwl/web : 13.9.6 @nrwl/workspace : 13.9.6 typescript : 4.5.4 rxjs : 7.4.0

[AgentEnder]

Make sure nx is installed as a dependency or dev dependency, the bin moved from @nrwl/cli => nx

[AgentEnder]

It needs to be listed in package.json