Enable dumping raw prof files in `AdvancedProfiler` #13640

Job	Run time
pl-cpu (macOS-14, lightning, 3.10, 2.1)	14m 48s
pl-cpu (ubuntu-20.04, lightning, 3.10, 2.1)	15m 19s
pl-cpu (windows-2022, lightning, 3.10, 2.1)	16m 53s
pl-cpu (macOS-14, lightning, 3.11, 2.2)	13m 40s
pl-cpu (ubuntu-20.04, lightning, 3.11, 2.2)	14m 53s
pl-cpu (windows-2022, lightning, 3.11, 2.2)	18m 0s
pl-cpu (macOS-14, lightning, 3.11, 2.3)	14m 22s
pl-cpu (ubuntu-20.04, lightning, 3.11, 2.3)	14m 37s
pl-cpu (windows-2022, lightning, 3.11, 2.3)	18m 11s
pl-cpu (macOS-14, lightning, 3.12, 2.4)	14m 31s
pl-cpu (ubuntu-20.04, lightning, 3.12, 2.4)	18m 55s
pl-cpu (windows-2022, lightning, 3.12, 2.4)	19m 31s
pl-cpu (macOS-12, pytorch, 3.10, 2.1)	24m 38s
pl-cpu (ubuntu-22.04, pytorch, 3.10, 2.1)	14m 9s
pl-cpu (windows-2022, pytorch, 3.10, 2.1)	15m 0s
pl-cpu (macOS-13, lightning, 3.9, 2.1, oldest)	24m 16s
pl-cpu (ubuntu-20.04, lightning, 3.9, 2.1, oldest)	12m 36s
pl-cpu (windows-2022, lightning, 3.9, 2.1, oldest)	15m 38s
pl-cpu (macOS-14, pytorch, 3.9, 2.1)	14m 5s
pl-cpu (ubuntu-20.04, pytorch, 3.9, 2.1)	14m 54s
pl-cpu (windows-2022, pytorch, 3.9, 2.1)	14m 54s
	5h 43m 50s

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