Fix double init UI test #5246

Job	Run time
system-test (sentry-samples-spring-boot, false, true)	2m 0s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	4m 19s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	4m 41s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	4m 25s
system-test (sentry-samples-console, false, true)	1m 7s
system-test (sentry-samples-spring-boot-jakarta, false, true)	1m 59s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	4m 30s
system-test (sentry-samples-logback, false, true)	54s
system-test (sentry-samples-spring-boot-4, false, true)	1m 51s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	4m 44s
system-test (sentry-samples-spring-jakarta, false, true)	1m 35s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	4m 42s
system-test (sentry-samples-log4j2, false, true)	1m 3s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	4m 37s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	2m 22s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	1m 56s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	4m 41s
system-test (sentry-samples-spring-boot-webflux, false, true)	1m 56s
system-test (sentry-samples-spring, false, true)	1m 36s
system-test (sentry-samples-jul, false, true)	59s
	55m 57s

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