[ANR] Update Connection Status cache in the background #5893

Job	Run time
system-test (sentry-samples-spring-boot-jakarta, false, true)	3m 45s
system-test (sentry-samples-logback, false, true)	57s
system-test (sentry-samples-console, false, true)	1m 2s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	4m 35s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	1m 55s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	4m 35s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	4m 49s
system-test (sentry-samples-spring-boot-webflux, false, true)	2m 7s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	4m 34s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	4m 27s
system-test (sentry-samples-spring-boot, false, true)	2m 13s
system-test (sentry-samples-spring-7, false, true)	1m 38s
system-test (sentry-samples-jul, false, true)	1m 11s
system-test (sentry-samples-spring-boot-4, false, true)	1m 56s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	4m 47s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	4m 46s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	4m 40s
system-test (sentry-samples-spring, false, true)	1m 36s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	2m 4s
system-test (sentry-samples-spring-jakarta, false, true)	1m 30s
system-test (sentry-samples-log4j2, false, true)	1m 5s
	1h 0m 12s

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