Use `libmesh_terminate()` for `mooseError()`#32270

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loganharbour wants to merge 10 commits intoidaholab:nextfrom

loganharbour:mooseerror_terminate

Commits on Jan 28, 2026

Handle TerminationException in handleException

roystgnr
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Use handleException in displaced mesh update

roystgnr
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Just re-throw TerminationException

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Make handleException() public, and document it better

roystgnr
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Easier debugging of parallel exception checking in dbg mode

roystgnr
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Use handleException() in PointSamplerBase

roystgnr
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Sync up (error) exceptions in DiracKernelBase

roystgnr
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Sync errors in RayTracingStudy

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Use handleException in RepeatableRayStudyBase

roystgnr
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Remove unused capture
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