Hi there.
First, you do not need to start the node.js command prompt, the normal cmd prompt works just fine.
Then, fixing your problem… try this:
From normal cmd prompt.
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npm install npm@latest -g
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npm install node@latest -g
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npm install homey@latest -g
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Homey login
Not working? Reboot the PC and try Homey login from normal cmd prompt again. Still not working? Let us know.