fix(rectification): bump scoring identity to scoring-10 for functional profile v2; dated contract by generation (BUG-1181)

Functional roles feed the *_functional_*_auxiliary rules, so 57782aea changes
candidate scores for identical input (memoization fixture 12:00: 8.6274 ->
8.4977). Per the "scoring semantics change => bump ALGORITHM_VERSION"
precedent (scoring-7 -> 8 -> 9), the identity moves to scoring-10; policy v3,
input contract v5 and Skill versions are unchanged, history is not relabeled.

Five frontend sites and one SQL guard tested `=== "...scoring-9"` for the
dated candidate-window contract; they now use isDatedScoringAlgorithmVersion /
a generation regex (>= 9). Migration 20261002010000 only recreates
validate_dated_rectification_candidate (one-line guard change).

Memoization golden v2 written by the test's own write_golden; v1 (scoring-8)
frozen by sha256. Real-engine scoring-10 cross-midnight golden added. Research
records re-frozen per ERR-110 (label functional_v2_2026_10_02) and
scripts/functional_benefics.py added to the frozen production identity
(ERR-114: 57782aea changed scores without tripping it).

Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01N4f2nya58RoRu4yEmJgRGE

tests/test_rectification_validation_integrity_gate.py

@@ -12,6 +12,7 @@ from tests.test_reported_offset_research import (  # noqa: F401
 from tests.test_sealed_holdout_contract_freshness import (  # noqa: F401
     test_changed_frozen_identity_fails_before_any_replay,
     test_contract_tracks_actual_current_scorer_and_dataset_audit,
+    test_functional_roles_are_part_of_the_production_identity,
     test_fixed_protocol_rerun_is_auditable_but_never_independent_blind,
     test_frozen_record_matches_dataset_scorer_and_evaluator_bytes,
     test_extended_identity_drift_rejected_even_when_legacy_hash_unchanged,