[JingsongLi]

Summary

• Add Java-style route_builders, to_route_result, and rank to hybrid search, with owned typed route/result handles. Reuse Core fusion for complete queries and independently executed routes.
• Unify vector, full-text, hybrid and route execute() results as GlobalIndexResult; remove execute_scored() and migrate Core, DataFusion and SDK callers.
• Retain the actual mutable vector/full-text builder in each route. Core handles share configuration; repeated SDK search_builder() calls return the same object. Changes affect subsequent route execution. Capture one configuration before I/O so edits do not alter an active request.
• Capture one authorized snapshot for all routes, including empty and retained views. Reconfiguration preserves that captured view.
• Expose pure HybridSearchRanker and HybridSearchWeightedResult for external scored results without table access or query validation.
• Preserve compatible captured read contexts, and return contextless scores for external or conflicting views.
• Keep the Python binding thin by delegating single vector/full-text builder state to Core. Update stubs, docs and regressions. No dependencies are added.

This covers existing PyPaimon phased hybrid operations. The physical primary-key hybrid API keeps its existing materialized-read contract.

Review follow-up

• Require shared FileIO backend provenance before attaching a fused result's read context. Matching table metadata alone cannot prove identical credential scopes. A regression uses one immutable snapshot with disjoint partition credentials: each input query/read succeeds, fusion keeps all scores, and conflicting contexts are dropped. Cloned compatible contexts remain usable.
• Review the complete Core, binding and Python diff again after repairs; no additional actionable findings remain.

Verification

• 112 Core search-builder tests passed, covering hybrid, vector, batch vector and full-text behavior, retained route mutation, active-request isolation and snapshot ownership.
• Eight embedded SDK hybrid and search-plan/API tests passed, including builder identity, configuration mutation and removal of execute_scored.
• 90 real PyPaimon Native joint cases passed (62 Native plans), including mutable SDK routes and both public execution backends. The actual SDK was registered inside a Cargo test executable; no Native extension was installed or rebuilt into a Python environment. The temporary runner is not committed.
• 170 focused companion Python tests passed; Arrow 16 focused checks from the initial PR: 23 passed.
• Rust 1.98.0 all-targets Clippy for Core, DataFusion and bindings with warnings denied; default-feature Core check; rustfmt; stub parsing; scoped Python lint and diff checks passed.
• Independent API, lifetime, snapshot and Java-semantics review found no remaining actionable issue.

Companion Python PR: apache/paimon#10769 (draft until this API reaches Rust main). Its Native CI continues to build Rust main.

[leaves12138]

LGTM