Support owned Box and Kulon movement-promise preparation

Extend bounded Basic ground-movement reachability to held native CHOAM Kulon and owned paid Box recovery. Before payment, use only known current-discard identities. Preserve actual paid event, full inspection, one two-spice fee, original physical card replay and existing provisional full-hand exchange. Reject a Yes-breaking selection before the server shuffle without losing the paid search. Keep No-only searches on their normal decision before movement can end.

Record movement-relevant current-discard certainty at actual disposal, paid search, mixed claim and deck rebuild boundaries without projecting raw metadata or erasing historical memory. Use deterministic preparation on private copies, include preparation state in search memoization, protect fee-funded routes from voluntary spending and keep native Kulon counter semantics. Persistent busy-safe guidance and existing legal profiles use the actual next paid action; no strategy tuning.

Verify 17 files231/231, types/lint/build, three original-action control/table-rendering programmes and four existing profiles with40 accepted actions including neutral passes. Original public sources44/25 retain actual purchases1+1, shipment costs6/1, exhausted Hajr and native Kulon route4. Separate full-hand, legacy certainty, fee-loss and acquired-counter edges disclose conserved staging. Two prior-engine Auditor fixture failures are repaired by actual battle-result acknowledgements; test-only const lint is corrected.

Other timing, preparations/counter mitigation, unknown private possibilities, optional/Advanced, full modes, comprehensive assurance and deployed acceptance remain open. No saved-room/reset/restart/deployment operation.

game/reference.ts

@@ -2933,17 +2933,18 @@ export const RULE_TOPICS: RuleTopic[] = [
       'Choose Bind ground movement this turn, a printed territory and a minimum of one to twenty physical forces. Ask the active Basic player after shipment and finish pending decisions first. Selected native families are supported; optional modules, Advanced and earlier or waiting turns remain unfinished.',
       'Yes requires one qualifying ground movement from now until that player’s Shipment and Movement turn ends, while possible. Smaller groups do not add together and earlier moves do not count. Shipment, HMS relocation and Ambassador relocation do not fulfill this statement; a concealed No-Field marker itself is not a physical on-board force counter.',
       'A nonmatching move leaves Yes pending when an owned later route remains. One matching physical commitment fulfills it before card disposal and later Intrusion, Ambassador or Terror effects. You are promising the move, not survival afterward. No forbids every later matching move, including Hajr and both Ornithopter groups, until the actual turn closes.',
-      'Private feasible answers and the next owned step use actual movement legality, typed groups, held Hajr, both Ornithopter modes and original cohorts, current city access and native bonuses such as Kulon. Unknown future draws/gifts are not invented. Other preparation families, including Box recovery and native relocation preparation, remain unfinished.',
+      'Private feasible answers and the next owned step use actual movement legality, typed groups, held Hajr, both Ornithopter modes and original cohorts, current city access, held native Kulon and owned Box recovery. Before paying the two-spice Box fee, only a known card still in discard supplies a route; unknown future draws/gifts are not invented. Native relocation and wider preparation remain unfinished.',
+      'A paid Box search retains its full private choice and original event. A guided choice preserves Yes; an incompatible selection rejects before shuffle and keeps that paid search available without another fee. No-only promises retain ordinary selection before movement can end. The existing provisional atomic full-hand exchange remains.',
       'Voluntary actions cannot erase the last required route. Native counter responses finish before impossibility is decided. An opposing loss releases only incompatible answers, retaining No constraints and still-possible Yes answers in accepted order. This owned-route and release priority is a provisional software composition of the general current-turn rule, not a publisher movement-specific FAQ.',
       'Persistent answer and next-step controls do not time out. All four profiles use the same private legal guidance. Broader Truthtrance questions, complete modes, full combinations and final acceptance remain unfinished.',
     ],
     related: ['card-truthtrance', 'truthtrance-shipment', 'movement', 'implementation-checklist'],
     checklist: [
-      { area: 'Implementation', status: 'Partial', detail: 'A pure ledger and finite owned-action search reuse authoritative declaration and physical commitment. Yes settles before arrivals/disposal; No closes only at actual turn end. Shared native movement, current Kulon and original card cohorts remain. Earlier timing, other preparations and optional/Advanced profiles stay unfinished.', evidence: ['game/movement-promises.ts', 'game/movement-promise-search.ts', 'game/truthtrance.ts', 'game/engine.ts'] },
-      { area: 'Player controls', status: 'Partial', detail: 'Dedicated destination/minimum, exact public preview, private feasible answers and persistent busy-safe next actions have current Basic controls. Browser/visual acceptance remains open.', evidence: ['components/movement-claim-fields.tsx', 'components/movement-promises.tsx', 'components/truthtrance.tsx', 'components/game-table.tsx', 'tests/truth-movement-controls.test.tsx'] },
-      { area: 'AI', status: 'Partial', detail: 'All four existing profiles make twelve accepted answer/move/end proposals from real public Basic source views. This is minimal legal participation without strategy tuning or calibration.', evidence: ['game/bots.ts', 'tests/truth-movement-engine.test.ts'] },
+      { area: 'Implementation', status: 'Partial', detail: 'A pure ledger and finite owned-action search reuse authoritative declaration and physical commitment. Add held native Kulon and paid Box recovery using known current-discard identities before payment. Original paid event, fee, full choice, physical replay and provisional full-hand policy remain; wrong Yes selections reject before shuffle. Earlier timing, unknown private possibilities, wider preparations/counter mitigation and optional/Advanced stay unfinished.', evidence: ['game/movement-promises.ts', 'game/movement-promise-search.ts', 'game/movement-discard-knowledge.ts', 'game/truthtrance.ts', 'game/engine.ts'] },
+      { area: 'Player controls', status: 'Partial', detail: 'Dedicated destination/minimum, public preview, private feasible answers and persistent busy-safe next actions include Box payment, original paid selection and held Kulon. Full paid inspection remains; No-only searches cannot offer an invalid End action. Browser/visual acceptance remains open.', evidence: ['components/movement-claim-fields.tsx', 'components/movement-promises.tsx', 'components/truthtrance.tsx', 'components/nullentropy-box.tsx', 'components/game-table.tsx', 'tests/truth-movement-controls.test.tsx', 'tests/truth-movement-preparation-controls.test.tsx'] },
+      { area: 'AI', status: 'Partial', detail: 'All four existing profiles prioritize the compliant original paid selection and finish real Box/Hajr/move/end continuations with40 accepted actions including neutral passes. Earlier twelve answer/move/end proposals remain historical. Minimal legal participation only; no strategy tuning or calibration.', evidence: ['game/bots.ts', 'tests/truth-movement-engine.test.ts', 'tests/truth-movement-preparation-engine.test.ts'] },
       { area: 'Documentation', status: 'Implemented', detail: 'General FAQ authority, existential single-event meaning, explicit software composition, source selection and unfinished scope are documented.', evidence: ['docs/TRUTHTRANCE_MOVEMENT_PROMISES.md', 'docs/RULE_DECISIONS.md'] },
-      { area: 'Verification', status: 'Partial', detail: 'Seventeen-file218/218, types/lint/build and seven original-action promise-handler/table-rendering programmes pass. Public classic source20, native paid Ornithopter source58 and genuine Kulon source26 retain actual pieces/cards/payments; only unopened positions and scalar lotteries are selected. Separate extra-card/force-loss edges disclose conserved staging. Review corrected Kulon reachability/selective release; private preparation and old fixture feedback were repaired. No browser/visual/deployed, full-mode or comprehensive assurance claim.', evidence: ['tests/movement-promises.test.ts', 'tests/truth-movement-engine.test.ts', 'tests/truth-movement-controls.test.tsx', 'tests/fixture-truth-movement.ts', 'tests/fixture-truth-movement-choam.ts', 'tests/fixture-basic-semuta-ambassador.ts', 'docs/TRUTHTRANCE_MOVEMENT_PROMISES.md'] },
+      { area: 'Verification', status: 'Partial', detail: 'Current seventeen-file231/231, types/lint/build and three original-action promise/paid-choice-handler/table-rendering programmes pass. Public Box source44 retains purchases1+1, shipment6 and exhausted real Hajr; held-Kulon source25 precedes route4. Separate full-hand/legacy-knowledge/fee-loss/counter edges disclose controlled conservation. Two old Auditor fixtures reproduce on the previous engine and now acknowledge actual battle results. Earlier218/218 movement evidence remains historical. No browser/visual/deployed, full-mode or comprehensive assurance claim.', evidence: ['tests/movement-discard-knowledge.test.ts', 'tests/truth-movement-preparation-engine.test.ts', 'tests/truth-movement-preparation-controls.test.tsx', 'tests/fixture-truth-movement-box.ts', 'tests/fixture-hajr-replay.ts', 'tests/fixture-truth-movement-choam.ts', 'docs/TRUTHTRANCE_MOVEMENT_PROMISES.md'] },
     ],
   },
   {