Using different Apple ID for media & purchases on macOS Sonoma

How can I use a different Apple ID for media & purchases on macOS Sonoma? I have a bunch of apps I purchased on my personal Apple ID and I want to install them on my company computer, where I need to sign in using the company Apple ID.

I was using this exact setup until yesterday, but I was signed out from Apple ID, and now I can't redo this setup. There's a post on this forum called Using different Apple ID for media & purchases on Mac OSX Ventura which says I should go to App Store and choose "Sign Out" from the Store menu, but there's no such option in the Store menu on Sonoma.