[chore]: Deprecate and remove NewUnhealthyProcessorCreateSettings #23720

Job	Run time
govulncheck	28s
setup-environment	8s
checks	1m 50s
test-coverage	6m 14s
lint	3m 50s
cross-build-collector (darwin, amd64)	48s
unittest-matrix (ubuntu-latest, ~1.23)	2m 55s
cross-build-collector (darwin, arm64)	37s
unittest-matrix (ubuntu-latest, ~1.22)	2m 52s
cross-build-collector (linux, 386)	36s
cross-build-collector (linux, amd64)	38s
cross-build-collector (linux, arm64)	37s
cross-build-collector (linux, ppc64le)	40s
cross-build-collector (linux, arm, 7)	37s
cross-build-collector (linux, s390x)	42s
cross-build-collector (windows, 386)	42s
cross-build-collector (windows, amd64)	38s
unittest	1s
	24m 53s

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