fix(prt): rework vertical tracking approach (#2066) #2235

Job	Run time
Build	2m 9s
Check format	1m 54s
Smoke test	6m 19s
Test Intel fortran (ubuntu-22.04)	40m 57s
Test GNU fortran (macos-13, false)	27m 52s
Test Intel fortran (macos-13)	25m 42s
Extended testing (ubuntu-22.04)	18m 14s
Test GNU fortran (macos-14, false)	19m 51s
Test Intel fortran (windows-2022)	39m 51s
Extended testing (macos-13)	42m 10s
Test GNU fortran (macos-14, true)	38m 19s
Test GNU fortran (ubuntu-22.04, false)	38m 32s
Extended testing (windows-2022)	56m 55s
Test GNU fortran (ubuntu-22.04, true)	1h 33m 25s
Test GNU fortran (windows-2022, false)	34m 22s
	8h 6m 32s

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