fix(replay): Do not use recycled screenshots #5666

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	5m 3s
system-test (sentry-samples-spring-boot-jakarta, false, true)	4m 41s
system-test (sentry-samples-spring-boot, false, true)	2m 37s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	4m 59s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	2m 22s
system-test (sentry-samples-console, false, true)	54s
system-test (sentry-samples-jul, false, true)	1m 11s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	5m 26s
system-test (sentry-samples-logback, false, true)	1m 12s
system-test (sentry-samples-spring-boot-webflux, false, true)	2m 28s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	5m 19s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	5m 8s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	4m 50s
system-test (sentry-samples-log4j2, false, true)	1m 12s
system-test (sentry-samples-spring-boot-4, false, true)	2m 22s
system-test (sentry-samples-spring, false, true)	2m 2s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	5m 12s
system-test (sentry-samples-spring-jakarta, false, true)	1m 59s
system-test (sentry-samples-spring-7, false, true)	2m 4s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	2m 45s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	5m 8s
	1h 8m 54s

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