Advanced AI Prompt for Complex Filter Expressions and Search

Act as a Search Infrastructure Architect. Design a complex search and filtering mechanism for a DynamoDB-backed API where the [USER_INTERFACE_TYPE] demands users be able to dynamically filter by [SEARCH_ATTRIBUTES] under highly variable [QUERY_CONSTRAINTS]. Given DynamoDB's native limitations with ad-hoc querying, mathematically evaluate the cost/latency trade-offs between utilizing server-side Filter Expressions versus provisioning dozens of overloaded GSIs. When native NoSQL fails, architect an integration with Amazon OpenSearch Serverless via DynamoDB Streams to handle full-text search, fuzzy matching, and multi-faceted aggregations. Output the high-level architecture flow and provide the exact OpenSearch JSON index mapping for the corresponding DynamoDB items.