fix(replay): Do not use recycled screenshots #5531

Job	Run time
system-test (sentry-samples-spring-boot-jakarta, false, true)	4m 2s
system-test (sentry-samples-spring-boot, false, true)	4m 13s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	4m 13s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	6m 43s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	7m 9s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	7m 10s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	7m 5s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	7m 1s
system-test (sentry-samples-spring-boot-webflux, false, true)	4m 26s
system-test (sentry-samples-jul, false, true)	2m 24s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	6m 41s
system-test (sentry-samples-spring-boot-4, false, true)	4m 3s
system-test (sentry-samples-log4j2, false, true)	2m 32s
system-test (sentry-samples-console, false, true)	2m 18s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	7m 8s
system-test (sentry-samples-spring-jakarta, false, true)	3m 54s
system-test (sentry-samples-spring, false, true)	3m 43s
system-test (sentry-samples-logback, false, true)	2m 19s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	7m 12s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	4m 29s
	1h 38m 45s

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