Fix profiling init for Spring and Spring Boot w Agent auto-init #5825

Job	Run time
system-test (sentry-samples-spring-boot, false, true)	2m 59s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	5m 17s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	2m 53s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	5m 39s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	5m 23s
system-test (sentry-samples-logback, false, true)	1m 33s
system-test (sentry-samples-jul, false, true)	1m 26s
system-test (sentry-samples-spring-boot-4, false, true)	2m 45s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	5m 24s
system-test (sentry-samples-log4j2, false, true)	1m 32s
system-test (sentry-samples-console, false, true)	1m 28s
system-test (sentry-samples-spring-boot-jakarta, false, true)	4m 48s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	5m 12s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	2m 57s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	5m 38s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	5m 52s
system-test (sentry-samples-spring-boot-webflux, false, true)	3m 11s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	5m 39s
system-test (sentry-samples-spring, false, true)	2m 17s
system-test (sentry-samples-spring-7, false, true)	2m 21s
system-test (sentry-samples-spring-jakarta, false, true)	2m 32s
	1h 16m 46s

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