fix(replay): Do not use recycled screenshots #5665

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	5m 6s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	5m 2s
system-test (sentry-samples-spring-boot, false, true)	2m 28s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	4m 50s
system-test (sentry-samples-spring-boot-jakarta, false, true)	5m 16s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	5m 33s
system-test (sentry-samples-spring-boot-webflux, false, true)	2m 26s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	2m 7s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	5m 12s
system-test (sentry-samples-console, false, true)	57s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	5m 21s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	2m 40s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	5m 16s
system-test (sentry-samples-jul, false, true)	1m 12s
system-test (sentry-samples-log4j2, false, true)	1m 19s
system-test (sentry-samples-spring-7, false, true)	2m 12s
system-test (sentry-samples-logback, false, true)	1m 14s
system-test (sentry-samples-spring-jakarta, false, true)	2m 9s
system-test (sentry-samples-spring-boot-4, false, true)	2m 28s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	5m 14s
system-test (sentry-samples-spring, false, true)	1m 59s
	1h 10m 1s

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