Refactor Mesh Constructors #4693

Job	Run time
CI-Cuda-Host (g++, Release, cuda, serial)	37m 45s
CI-Cuda-Host (g++, Release, cuda, mpi)	37m 50s
CI-Cuda-Host (g++, Release, host, serial)	11m 22s
CI-Cuda-Host (g++, Release, host, mpi)	11m 1s
CI-Cuda-Host (g++, Debug, cuda, serial)	1h 5m 59s
CI-Cuda-Host (g++, Debug, cuda, mpi)	1h 6m 8s
CI-Cuda-Host (g++, Debug, host, serial)	9m 41s
CI-Rocm-HIP (hipcc, Release, hip, serial)	30m 13s
CI-Cuda-Host (g++, Debug, host, mpi)	10m 0s
CI-Rocm-HIP (hipcc, Release, hip, mpi)	31m 19s
CI-Cuda-Host (clang++-15, Release, cuda, serial)	24m 45s
CI-Rocm-HIP (hipcc, Debug, hip, serial)	51m 25s
CI-Cuda-Host (clang++-15, Release, cuda, mpi)	24m 31s
CI-Rocm-HIP (hipcc, Debug, hip, mpi)	52m 25s
CI-Cuda-Host (clang++-15, Release, host, serial)	9m 18s
CI-Cuda-Host (clang++-15, Release, host, mpi)	9m 19s
CI-Cuda-Host (clang++-15, Debug, host, serial)	7m 7s
CI-Cuda-Host (clang++-15, Debug, host, mpi)	7m 4s
	8h 17m 12s

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