Hybrid Multi-Region Connectivity with AWS Direct Connect

Act as a Hybrid Cloud Network Engineer. Design a highly resilient, enterprise-grade hybrid networking architecture bridging a massive [ON_PREM_LOCATION] (e.g., a Tier 4 data center in London) simultaneously to multiple, globally dispersed AWS regions. You must architect the implementation of an AWS Direct Connect Gateway to efficiently share a dedicated, physical [BANDWIDTH_REQUIREMENTS] (e.g., 10 Gbps) fiber connection across dozens of disparate VPCs located in different regions. You must implement a strict [REDUNDANCY_LEVEL] architecture, deploying an encrypted AWS Site-to-Site VPN over the public internet acting as an automatic, BGP-weighted failover backup if the physical fiber is severed. Provide a highly technical explanation detailing exactly how to optimize BGP AS_PATH prepending and Local Preference communities to mathematically guarantee the shortest path for ingress traffic and absolutely avoid the severe latency penalty of 'tromboning' effects in multi-region traffic flows.