fix(prt): rework vertical tracking approach #3559

Job	Run time
Build	6m 59s
Check format	2m 54s
Smoke test	14m 14s
Test Intel fortran (ubuntu-22.04)	26m 59s
Test GNU fortran (macos-13, false)	47m 40s
Test Intel fortran (macos-13)	39m 31s
Extended testing (ubuntu-22.04)	25m 54s
Test GNU fortran (macos-14, false)	23m 33s
Test Intel fortran (windows-2022)	34m 21s
Extended testing (macos-13)	56m 16s
Test GNU fortran (macos-14, true)	34m 21s
NetCDF testing (ubuntu-22.04)	12m 30s
Extended testing (windows-2022)	51m 19s
Test GNU fortran (ubuntu-22.04, false)	48m 16s
NetCDF testing (macos-13)	6m 41s
Parallel testing (ubuntu-22.04)	41m 17s
Test GNU fortran (ubuntu-22.04, true)	1h 40m 14s
Parallel testing (macos-13)	1h 18m 26s
NetCDF testing (windows-2022)	13m 50s
Test GNU fortran (windows-2022, false)	30m 46s
Parallel testing (windows-2022)	51m 44s
	12h 27m 45s

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