chore(repo): Add Claude Code settings with basic permissions #6598

Job	Run time
system-test (sentry-samples-spring-boot-opentelemetry, true, true)	10m 55s
system-test (sentry-samples-spring-boot-jakarta, false, true)	8m 8s
system-test (sentry-samples-spring-boot, false, true)	9m 21s
system-test (sentry-samples-spring-boot-webflux, false, true)	8m 7s
system-test (sentry-samples-spring-boot-opentelemetry-noagent, false, true)	10m 10s
system-test (sentry-samples-spring-boot-webflux-jakarta, false, true)	8m 52s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, true)	11m 32s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry-noagent, false, true)	9m 50s
system-test (sentry-samples-console, false, true)	4m 12s
system-test (sentry-samples-logback, false, true)	5m 17s
system-test (sentry-samples-spring-boot-opentelemetry, true, false)	10m 43s
system-test (sentry-samples-spring-boot-jakarta-opentelemetry, true, false)	10m 37s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, false)	11m 2s
system-test (sentry-samples-jul, false, true)	5m 14s
system-test (sentry-samples-spring-boot-4-opentelemetry, true, true)	10m 54s
system-test (sentry-samples-spring-boot-4-webflux, false, true)	9m 16s
system-test (sentry-samples-spring, false, true)	7m 44s
system-test (sentry-samples-spring-7, false, true)	7m 52s
system-test (sentry-samples-spring-jakarta, false, true)	7m 52s
system-test (sentry-samples-log4j2, false, true)	3m 48s
system-test (sentry-samples-spring-boot-4, false, true)	10m 9s
	3h 1m 35s

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