fix(replay): Do not use recycled screenshots #5664

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	53s
system-test (sentry-samples-spring-boot-jakarta, false, true)	50s
system-test (sentry-samples-spring-boot, false, true)	49s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	49s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	50s
system-test (sentry-samples-spring-boot-webflux, false, true)	53s
system-test (sentry-samples-console, false, true)	54s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	50s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	54s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	54s
system-test (sentry-samples-logback, false, true)	53s
system-test (sentry-samples-log4j2, false, true)	53s
system-test (sentry-samples-jul, false, true)	50s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	52s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	53s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	51s
system-test (sentry-samples-spring-jakarta, false, true)	50s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	56s
system-test (sentry-samples-spring-7, false, true)	24s
system-test (sentry-samples-spring, false, true)	56s
system-test (sentry-samples-spring-boot-4, false, true)	49s
	17m 43s

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