refactor(distribution): Use interface pattern for distribution API #5300

Job	Run time
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	5m 45s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	5m 37s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	5m 38s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	5m 30s
system-test (sentry-samples-console, false, true)	1m 27s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	2m 53s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	5m 48s
system-test (sentry-samples-log4j2, false, true)	1m 47s
system-test (sentry-samples-spring-boot, false, true)	2m 59s
system-test (sentry-samples-spring-jakarta, false, true)	2m 20s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	5m 21s
system-test (sentry-samples-spring-boot-webflux, false, true)	2m 38s
system-test (sentry-samples-spring-boot-jakarta, false, true)	2m 48s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	2m 59s
system-test (sentry-samples-logback, false, true)	1m 38s
system-test (sentry-samples-jul, false, true)	1m 29s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	5m 50s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	5m 26s
system-test (sentry-samples-spring-boot-4, false, true)	2m 56s
system-test (sentry-samples-spring, false, true)	2m 24s
	1h 13m 13s

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