Daily Objectives are not a specific thing to the server - they are a Pointshop-wide thing which bring Pointshop-wide benefits, and so they are used to encourage people to play on different servers. Every server with the new Pointshop on it currently has objectives specific to this gamemode - there are TTT specific ones as well of course (same number of TTT ones as there are Prophunt ones I believe).
The problem with Sally's suggestion is that the objectives reset automatically at midnight, not when you join the server, so it's not possible to get the server you're on when you're not actually on a server.
The Pointshop servers are meant to all be joined and the Daily Objectives system was intended to add a reason for people to play on multiple Pointshop servers. You're getting given an extra reward for playing across servers, rather than just sitting on one server and doing what you always do.
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