fix(test): Fix flaky tests caused by SentryOptions.activate #6993

Job	Run time
system-test (sentry-samples-log4j2, false, true)	5m 20s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	9m 38s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	10m 57s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	11m 43s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	11m 44s
system-test (sentry-samples-spring-boot-jakarta, false, true)	10m 12s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	8m 31s
system-test (sentry-samples-spring-boot, false, true)	9m 22s
system-test (sentry-samples-spring-boot-4, false, true)	10m 51s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	10m 39s
system-test (sentry-samples-console, false, true)	5m 7s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	9m 0s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	8m 37s
system-test (sentry-samples-spring-7, false, true)	8m 35s
system-test (sentry-samples-spring-boot-webflux, false, true)	6m 48s
system-test (sentry-samples-jul, false, true)	4m 42s
system-test (sentry-samples-logback, false, true)	5m 7s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	11m 59s
system-test (sentry-samples-spring, false, true)	8m 24s
system-test (sentry-samples-spring-jakarta, false, true)	8m 28s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	8m 49s
	3h 4m 33s

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