vpn won't impact your login session. your login is validated by two things. the first is your cloudflare cookie. that's the cookie that's set once cloudflare is satisfied that you're not a bot (can be evaded). Once that cookie's been set cloudlfare will let you through to their proxy service to access chat-ave. the second is your token. That's set when you log into the chat. the token is valid until you log out of that session or your session times out and the chat logs you out. otherwise, your token is technically always valid (I use the same token for days on end sometimes). The cloudflare token does, however, expire if it doesn't get used for like an hour. Technically speaking you can use the same token across multiple connections as long as your cloudflare cookie is valid, they're not mutually exclusive. closing the browser ends the cloudflare session but doesn't terminate the token validity. That's why if you close the browser and come back you might be asked to revalidate that you're not a bot with cloudflare but it'll automatically sign you into the chat after that. the caveat to that is if you're in an incognito browser because all your session data is lost when you close it.
to clarify though...a vpn won't change your login session but cloudflare and/or the chat may block you from using the chat if they detect that you're using one and not a vip.