What happens to the energy when the universe dies out?

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Energy in the universe, when considering the laws of thermodynamics, is expected to transition from higher to lower energy states, leading to its dissipation across spacetime. The concept of "Heat Death" suggests a scenario where the universe reaches a state of maximum entropy, making it difficult to define energy on a cosmological scale. Dark energy's role in accelerating the expansion of the universe raises questions about whether energy is increasing or remaining constant. Various theories exist regarding the ultimate fate of the universe, each proposing different outcomes for energy distribution. Understanding these concepts remains complex and speculative, highlighting the challenges in cosmological energy definitions.
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What happens to energy when the universe dies out? I understand how the law of conversation on energy works within a closed system(somewhat) but what about on the universal scale? If dark energy is accelerating planets outward isn't energy increasing or just staying proportionate?
 
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If you consider the universe as a closed system and consider the second and third laws of thermodynamics it will tend to go from a higher energy state to a lower one then I suspect the energy will be dissipated across the total expanse of spacetime.
 
I always thought it was odd that we know dark energy expands our universe, and that we know it has been increasing over time, yet no one ever expressed a "true" size of the universe (not "observable" universe, the ENTIRE universe) by just reversing the process of expansion based on our understanding of its rate through history, to the point where everything would've been in an extremely small region. The more I've looked into it recently, I've come to find that it is due to that "inflation"...

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