Serverless Multi-Region Event-Driven Design with EventBridge

Act as an Event-Driven Systems Architect. Architect a highly decoupled, global event mesh utilizing Amazon EventBridge's native cross-region event bus routing capabilities. You must define a highly organized [EVENT_BUS_STRUCTURE] specifically designed for capturing asynchronous domain events in one origin region and flawlessly routing them to complex [TARGET_SERVICES] (e.g., Step Functions, SQS, Kinesis) residing in a completely different geographic region. Establish a mathematically sound [RETRY_STRATEGY] utilizing exponential backoff and a robust Dead Letter Queue (DLQ) pattern specifically engineered to trap and alert on inter-region event delivery failures caused by AWS backbone latency. Crucially, provide the exact rule configuration logic required to absolutely prevent catastrophic 'infinite looping' in circular active-active replication patterns, and explain how to maintain strict event FIFO ordering across regions if the business logic demands it.