In the WebA version, new messages do not move up (they stay in the same place where they were when the site was opened), but the notification works and the counter of new messages too. To make them move up, you need to press Ctrl + F5.
Steps to reproduce
1.Open Telegram by the link https://web.telegram.org/
2.Wait for new messages
3.To find them, scroll down the list of chats and identify them by the counter of new messages
4.To avoid scrolling the list of contacts, refresh the page with Ctrl + F5, then they will move up by themselves
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