Yes...
No refrigeration device could possibly cool something without generating heat; more heat is produced than is removed from the space being cooled. This is a basic physical science law (a.k.a. the first law of thermodynamics).
Depending on what you plan to keep and what you plan to dose, this may be the solution for you:
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The tank wont be set-up till after Christmas since the tree is currently in the spot where the tank will go. Plenty of time to obsess over the plan in my head.