Add a `MeshData` variant for refinement tagging #5715

Job	Run time
CI-Rocm-HIP (hipcc, Release, hip, serial)	34m 0s
CI-Cuda-Host (g++, Release, cuda, serial)	40m 38s
CI-Rocm-HIP (hipcc, Release, hip, mpi)	33m 56s
CI-Cuda-Host (g++, Release, cuda, mpi)	40m 33s
CI-Rocm-HIP (hipcc, Debug, hip, serial)	57m 34s
CI-Rocm-HIP (hipcc, Debug, hip, mpi)	1h 0m 49s
CI-Cuda-Host (g++, Release, host, serial)	10m 53s
CI-Cuda-Host (g++, Release, host, mpi)	11m 25s
CI-Cuda-Host (g++, Debug, cuda, serial)	1h 13m 41s
CI-Cuda-Host (g++, Debug, cuda, mpi)	1h 13m 28s
CI-Cuda-Host (g++, Debug, host, serial)	9m 35s
CI-Cuda-Host (g++, Debug, host, mpi)	10m 19s
CI-Cuda-Host (clang++-15, Release, cuda, serial)	26m 23s
CI-Cuda-Host (clang++-15, Release, cuda, mpi)	29m 3s
CI-Cuda-Host (clang++-15, Release, host, serial)	9m 47s
CI-Cuda-Host (clang++-15, Release, host, mpi)	9m 49s
CI-Cuda-Host (clang++-15, Debug, host, serial)	7m 37s
CI-Cuda-Host (clang++-15, Debug, host, mpi)	7m 45s
	9h 7m 15s

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