fix(replay): Do not use recycled screenshots #5667

Job	Run time
system-test (sentry-samples-spring-boot-jakarta, false, true)	4m 47s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	5m 4s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	2m 16s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	4m 49s
system-test (sentry-samples-log4j2, false, true)	1m 7s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	5m 8s
system-test (sentry-samples-jul, false, true)	1m 13s
system-test (sentry-samples-spring-boot-4, false, true)	2m 23s
system-test (sentry-samples-logback, false, true)	1m 30s
system-test (sentry-samples-spring-boot-webflux, false, true)	2m 44s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	5m 9s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	5m 9s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	5m 1s
system-test (sentry-samples-spring-7, false, true)	2m 6s
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	5m 4s
system-test (sentry-samples-console, false, true)	1m 2s
system-test (sentry-samples-spring, false, true)	2m 3s
system-test (sentry-samples-spring-jakarta, false, true)	1m 57s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	2m 42s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	5m 22s
system-test (sentry-samples-spring-boot, false, true)	2m 19s
	1h 8m 55s

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