refactor(distribution): Use interface pattern for distribution API #5299

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	5m 25s
system-test (sentry-samples-console, false, true)	1m 27s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	5m 24s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	3m 13s
system-test (sentry-samples-spring-boot-jakarta, false, true)	3m 4s
system-test (sentry-samples-log4j2, false, true)	1m 39s
system-test (sentry-samples-spring-boot-webflux, false, true)	3m 9s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	5m 45s
system-test (sentry-samples-spring-boot, false, true)	2m 59s
system-test (sentry-samples-jul, false, true)	1m 30s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	5m 32s
system-test (sentry-samples-spring-boot-4, false, true)	2m 46s
system-test (sentry-samples-spring-jakarta, false, true)	2m 33s
system-test (sentry-samples-logback, false, true)	1m 33s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	5m 41s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	5m 48s
system-test (sentry-samples-spring, false, true)	2m 22s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	5m 52s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	3m 2s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	5m 49s
	1h 14m 33s

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