Issue1: Display messages, notifications are overflowing the layout when displayed on the mobile.(image1)
Issue2: When closing a conversation in the chat by clicking not on the user's x button but on the button to close the chat the screen is locked with a color layer.(image2)
Attached files: image2.jpeg image1.jpg
Thanks for the bug report, I attached those fixes to the next update: 1.2.2.
So whenever you see it; just update and it'll get patched.
I do not have any specific ETA but it's either next week or the week after.
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The point number 2 has been fixed.
Regarding number 1, actually the chat is only meant for desktop and is supposed to be hidden in the first place automatically for mobile devices. If it's not the case, let me know so I can dig. If it was displayed by a custom change, you will need to apply extra CSS to make it responsive on your site.
It was deactivated on our side because it was suited for small screens and we decided to prioritize the site's content first. But also because this feature is available from the Profile > Message page.