Hi Martin.
Configurable Name/Logo is planned later this year, see
Idea here.
As for showing Messenger only when agents available: I feel that approach made sense with synchronous Web Chat, to avoid having end-users ending up in infinite queue time. With Async Web Messaging it's less urgent, as you can still afford to engage customers via Bots (qualify user, self-serve and setting expectations on wait-time/office-hours), and have agents respond asynchronously, when they become available.
Having said so, there might still be cases where a more real-time interaction is preferred, but with async that should be less urgent, and compensated by many other benefits.
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Angelo Cicchitto
Genesys - Employees
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