How is a website (test server) debugged in practice?

Question

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Let's say if you have a task to add authorization through VK. It's clear that such things won't work on the LAN, because. VK needs your domain. As I understand they use hosting or not?

Answer 1

It's clear that such things won't work on the LAN, because. VK needs your domain.

There you can specify several domains, including localhost. So there won't be any problems.