[ANR] Update Connection Status cache in the background #5709

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	6m 11s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	6m 15s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	6m 15s
system-test (sentry-samples-spring-boot, false, true)	3m 37s
system-test (sentry-samples-spring-boot-jakarta, false, true)	5m 13s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	6m 26s
system-test (sentry-samples-logback, false, true)	1m 36s
system-test (sentry-samples-spring-boot-webflux, false, true)	3m 4s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	6m 10s
system-test (sentry-samples-spring-boot-4, false, true)	3m 16s
system-test (sentry-samples-console, false, true)	1m 26s
system-test (sentry-samples-log4j2, false, true)	1m 26s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	6m 20s
system-test (sentry-samples-jul, false, true)	1m 56s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	5m 56s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	5m 39s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	3m 36s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	3m 31s
system-test (sentry-samples-spring-jakarta, false, true)	2m 49s
system-test (sentry-samples-spring-7, false, true)	2m 24s
system-test (sentry-samples-spring, false, true)	3m 2s
	1h 26m 8s

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