Add verified Truthtrance hand inventory questions

Players can ask total-hand and primary-role card-count comparisons using the
existing count controls and compound facts. Component presentation shares the
same default-role classification, including canonical Richese cards, Ix alternate
uses, and Ecaz slot-only specials. Only the respondent receives the verified
aggregate answer; current facts do not impose future custody promises.

Eight new tests cover all 60 catalog cards, real engine actions, malformed input,
private worlds, all four bots, JSON continuation, and a legal custody transfer.
Expanded production-room SQLite cases cover restored total/category/compound
facts, suspended auction state, and one winning concurrent answer/discard.
Independent review's two copy issues were fixed before broad verification.

Validation: types, lint and 4,200 offline tests passed; production build passed;
40 HTTP tests passed. One stable broad run (check 123036 ms, build 6505 ms,
integration 23467 ms). Browser room LC3E55GY verified combined role counts,
total hand size, invalid-input feedback and refresh at 390px phone width.
All 33 pre-integration rooms preserved unchanged; HTTP checks added 30 rooms.
No complete-mode, full-game or publication gate opened.

Private report: 20260913-hand-inventory-final/report.json
Source fingerprint: c6a69a9e69941cdd1e5734d92afedbf10d31fda36c91d26ca7e15f4fb7c59b18
Efficiency pilot milestone 3: aggregate counter 58,695,053 to 59,144,653 at
completed verification = 449,600 tokens, including context/coordination overhead.
Two bounded workhorse-model helpers, reused UI and SQLite fixtures, one browser
room. Counter is not monetary cost and this differently sized batch does not
establish a savings percentage. Final Git/push overhead follows this sample.

components/truthtrance.tsx

@@ -62,7 +62,9 @@ export function Truthtrance({
   ]);
   const factId = useId();
   const invalidSpice = (fact: TruthFact) =>
-    (fact.kind === 'spice' || fact.kind === 'handCount') &&
+    (fact.kind === 'spice' ||
+      fact.kind === 'handCount' ||
+      fact.kind === 'handInventory') &&
     (!Number.isSafeInteger(fact.value) || fact.value < 0);
   const invalidFact = clauses
     .slice(0, join === 'single' ? 1 : 2)
@@ -357,9 +359,10 @@ export function Truthtrance({
                     <p className="notice">
                       Automatic enforcement currently supports the active
                       player’s unused shipment in base Basic games and base
-                      Advanced games without Guild or optional modules. Select that player and finish pending
-                      decisions first. Earlier questions and other rules
-                      configurations remain unfinished.
+                      Advanced games without Guild or optional modules. Select
+                      that player and finish pending decisions first. Earlier
+                      questions and other rules configurations remain
+                      unfinished.
                     </p>
                   )}
                   <p className="notice">
@@ -442,16 +445,23 @@ export function Truthtrance({
                                             compare: 'gte',
                                             value: 2,
                                           }
-                                        : e.target.value === 'spice'
+                                        : e.target.value === 'handInventory'
                                           ? {
-                                              kind: 'spice',
+                                              kind: 'handInventory',
+                                              category: 'all',
                                               compare: 'gte',
-                                              value: 6,
-                                            }
-                                          : {
-                                              kind: 'traitor',
-                                              leader: g.allLeaders[0].id,
+                                              value: 2,
                                             }
+                                          : e.target.value === 'spice'
+                                            ? {
+                                                kind: 'spice',
+                                                compare: 'gte',
+                                                value: 6,
+                                              }
+                                            : {
+                                                kind: 'traitor',
+                                                leader: g.allLeaders[0].id,
+                                              }
                                     : old,
                                 ),
                               )
@@ -461,6 +471,9 @@ export function Truthtrance({
                             <option value="handCount">
                               Number of a named card
                             </option>
+                            <option value="handInventory">
+                              Hand size or primary card role
+                            </option>
                             <option value="traitor">Selected a traitor</option>
                             <option value="spice">
                               Current personal spice
@@ -487,7 +500,8 @@ export function Truthtrance({
                               ))}
                             </select>
                           </label>
-                        ) : c.kind === 'handCount' ? (
+                        ) : c.kind === 'handCount' ||
+                          c.kind === 'handInventory' ? (
                           <CardCountFields
                             value={c}
                             onChange={(next) =>