Fix profiling init for Spring and Spring Boot w Agent auto-init #5840

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	6m 22s
system-test (sentry-samples-spring-boot-jakarta, false, true)	6m 2s
system-test (sentry-samples-spring-boot, false, true)	3m 57s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	6m 37s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	6m 26s
system-test (sentry-samples-spring-boot-webflux, false, true)	3m 54s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	3m 57s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	6m 55s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	6m 46s
system-test (sentry-samples-console, false, true)	2m 11s
system-test (sentry-samples-logback, false, true)	2m 19s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	6m 57s
system-test (sentry-samples-log4j2, false, true)	2m 7s
system-test (sentry-samples-jul, false, true)	2m 0s
system-test (sentry-samples-spring-boot-4, false, true)	4m 21s
system-test (sentry-samples-spring-7, false, true)	3m 4s
system-test (sentry-samples-spring-jakarta, false, true)	3m 24s
system-test (sentry-samples-spring, false, true)	3m 12s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	7m 7s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	7m 28s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	4m 4s
	1h 39m 10s

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