What is the eventual fate of the Crab Pulsar as it loses energy over time?

Answer

It will transition into a cold, dark neutron star

As the Crab Pulsar loses rotational energy over the coming millennia, the rate at which it injects particles into the nebula will decrease. Eventually, the gas filaments will dissipate into the interstellar medium, and the pulsar itself will cool down significantly, fading from view until it becomes a cold, dark neutron star, marking the final stage of its long evolution.

What is the eventual fate of the Crab Pulsar as it loses energy over time?
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