Replace deprecated properties and functions in `Process` #563

Job	Run time
Test without SPM on Linux (5.9)	1m 45s
Test on Linux (5.9)	4m 27s
Test without SPM on Linux (5.10)	1m 54s
Test dependencies resolver (macos-14, 15.4)	3m 30s
Test on Linux (5.10)	4m 28s
Test without SPM on Linux (6.0)	2m 12s
Test on macOS (macos-13, 14.3.1)	7m 48s
Test dependencies resolver (macos-15, 16.1)	3m 14s
Test on Linux (6.0)	5m 50s
Test on macOS (macos-14, 15.4)	3m 21s
Test on macOS (macos-15, 16.1)	3m 52s
Test without SPM on macOS (macos-13, 14.3.1)	3m 52s
Test without SPM on macOS (macos-14, 15.4)	1m 42s
Test without SPM on macOS (macos-15, 16.1)	1m 50s
	49m 45s

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