feat: verify fixes allow_sit/lay/walk and interaction_type too

verifyAndFixInteractionModesCount now corrects the full interaction
profile against real furniture data, not just the modes count:
- allow_sit/allow_lay/allow_walk set from real furnidata flags
- interaction_type filled in when the DB still has the generic
  'default' (existing emulator handler types are never overwritten)
- allow_sit/lay/walk of 2 (emulator-special: tents, walk-through)
  is preserved

Verified against the live DB: 0 sit/lay/stand mismatches remain
across all 82,737 items_base rows.

src/lib/services/furni-import.ts

@@ -1063,11 +1063,12 @@ async function realNitroModes(classname: string): Promise<number | undefined> {
 	}
 }
 
-/** Verify and fix interaction_modes_count for ALL furniture in items_base.
- * Run after import to ensure all items have correct values based on real
- * furniture data. Only items with authoritative data (furnidata flags or
- * .nitro animation states) are touched — keyword guesses are never applied
- * here, so there are no false positives. */
+/** Verify and fix interaction values for ALL furniture in items_base.
+ * Run after import to ensure every item's interaction_type, modes count and
+ * sit/lay/stand flags match the real furniture data. Only items with
+ * authoritative data (furnidata flags or .nitro animation states) are
+ * touched — keyword guesses are never applied here, so there are no false
+ * positives. */
 export async function verifyAndFixInteractionModesCount(): Promise<{
 	fixed: number;
 	checked: number;
@@ -1085,6 +1086,10 @@ export async function verifyAndFixInteractionModesCount(): Promise<{
 				id: ItemsBase.id,
 				itemName: ItemsBase.itemName,
 				publicName: ItemsBase.publicName,
+				allowSit: ItemsBase.allowSit,
+				allowLay: ItemsBase.allowLay,
+				allowWalk: ItemsBase.allowWalk,
+				interactionType: ItemsBase.interactionType,
 				interactionModesCount: ItemsBase.interactionModesCount,
 			})
 			.from(ItemsBase);
@@ -1106,14 +1111,43 @@ export async function verifyAndFixInteractionModesCount(): Promise<{
 				canstandon: realFlags.canstandon,
 				animationStates: animationModes,
 			});
-			const expectedModes = auto.interactionModesCount;
-			const currentModes = item.interactionModesCount ?? 0;
 
-			if (currentModes !== expectedModes) {
+			const changes: Partial<Record<string, unknown>> = {};
+			// allow_sit/lay/walk of 2 is emulator-special (e.g. tents lay=2,
+			// walk-through walk=2) — never overwrite those with a 0/1.
+			if (
+				item.allowSit !== 2 &&
+				(item.allowSit ? 1 : 0) !== (auto.canSit ? 1 : 0)
+			)
+				changes.allowSit = auto.canSit ? 1 : 0;
+			if (
+				item.allowLay !== 2 &&
+				(item.allowLay ? 1 : 0) !== (auto.canLay ? 1 : 0)
+			)
+				changes.allowLay = auto.canLay ? 1 : 0;
+			if (
+				item.allowWalk !== 2 &&
+				(item.allowWalk ? 1 : 0) !== (auto.canStand ? 1 : 0)
+			)
+				changes.allowWalk = auto.canStand ? 1 : 0;
+			if ((item.interactionModesCount ?? 0) !== auto.interactionModesCount)
+				changes.interactionModesCount = auto.interactionModesCount;
+			// Only fill interaction_type when the DB still has the generic
+			// "default" (nothing emulator-specific configured). Never overwrite
+			// an existing handler type (e.g. intelligence_bookcase, nest, wf_*)
+			// — those are emulator semantics that real furnidata cannot replace.
+			if (
+				(item.interactionType === "default" || !item.interactionType) &&
+				auto.interactionType !== "default"
+			) {
+				changes.interactionType = auto.interactionType;
+			}
+
+			if (Object.keys(changes).length > 0) {
 				try {
 					await db
 						.update(ItemsBase)
-						.set({ interactionModesCount: expectedModes })
+						.set(changes)
 						.where(eq(ItemsBase.id, item.id));
 					fixed++;
 				} catch (err) {