fix(prt): rework vertical tracking approach #3610

Job	Run time
Smoke test	10m 43s
Check format	1m 56s
Build	7m 28s
Test Intel fortran (ubuntu-22.04)	45m 14s
Extended testing (ubuntu-22.04)	26m 22s
Test GNU fortran (macos-13, false)	34m 4s
Test Intel fortran (macos-13)	37m 11s
Extended testing (macos-13)	52m 24s
Test GNU fortran (macos-14, false)	20m 11s
Test Intel fortran (windows-2022)	36m 3s
Extended testing (windows-2022)	57m 3s
Test GNU fortran (macos-14, true)	36m 53s
Test GNU fortran (ubuntu-22.04, false)	47m 36s
Test GNU fortran (ubuntu-22.04, true)	1h 47m 2s
Test GNU fortran (windows-2022, false)	44m 34s
	9h 24m 44s

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