added diagnostic_interval int for nonlinear solver diagnostic. #23005

Job	Run time
GCC Minimal w/o MPI	3m 29s
GCC 1D & 2D w/ MPI, QED tools	3m 28s
GCC 3D & RZ w/ MPI, single precision	3m 29s
GCC ABLASTR w/o MPI	44s
Clang pywarpx	3m 29s
	14m 39s

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