Add build distribution module. #5153

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	5m 42s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	5m 56s
system-test (sentry-samples-spring-boot, false, true)	3m 40s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	3m 53s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	6m 0s
system-test (sentry-samples-logback, false, true)	1m 50s
system-test (sentry-samples-log4j2, false, true)	1m 50s
system-test (sentry-samples-jul, false, true)	1m 53s
system-test (sentry-samples-console, false, true)	1m 44s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	6m 0s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	6m 20s
system-test (sentry-samples-spring-boot-jakarta, false, true)	3m 25s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	6m 19s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	6m 8s
system-test (sentry-samples-spring-jakarta, false, true)	2m 54s
system-test (sentry-samples-spring-boot-webflux, false, true)	3m 48s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	3m 54s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	6m 14s
system-test (sentry-samples-spring-boot-4, false, true)	3m 32s
	1h 21m 2s

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