Does signing out of my Apple ID delete the apps on macOS? I have some apps that I bought personally that I would like to use on my work laptop.
Can I sign in with my Apple ID and then install these app versions there and then sign out?
I guess I would not receive any updates for them that way?
You would need to give your Apple ID password in order to update them.
You are allowed to install apps on 5 Macs. I suppose a work laptop is OK as long as you are the prime or only user. You may want to check the exact wording of the Apple licence agreement in your country.