feat: add rematch functionality for recipe ingredients and enhance inventory management

- Added a new API path for rematching recipe ingredients in `api_paths.dart`.
- Implemented a manual product creation dialog in `inventory_screen.dart` to allow users to create new products directly.
- Integrated the rematch functionality in `recipe_repository.dart` to handle rematching of recipe ingredients.
- Updated the recipe detail screen to include a button for triggering the rematch process.
- Introduced a new `RecipeMatchingService` in the backend to handle ingredient matching logic.
- Added database migration to include `aiEngineEnabled` column in the User table.

Co-authored-by: Copilot <copilot@github.com>

backend/dist/recipes/recipe-analysis.service.d.ts

@@ -1,8 +1,10 @@
 import { PrismaService } from '../prisma/prisma.service';
+import { AiService } from '../ai/ai.service';
 type AnalysisStatus = 'exact_match' | 'covered_by_pantry' | 'substitutable' | 'missing';
 export declare class RecipeAnalysisService {
     private readonly prisma;
-    constructor(prisma: PrismaService);
+    private readonly aiService;
+    constructor(prisma: PrismaService, aiService: AiService);
     private getAccessibleRecipe;
     private calculateAvailableQuantity;
     analyzeRecipeIngredients(id: number, userId: number): Promise<{
@@ -46,5 +48,46 @@ export declare class RecipeAnalysisService {
             missingQuantity: number;
         }[];
     }>;
+    rematchRecipeIngredients(id: number, userId: number): Promise<{
+        recipeId: number;
+        ingredients: ({
+            ingredientId: any;
+            rawName: any;
+            quantity: number;
+            unit: any;
+            note: any;
+            status: AnalysisStatus;
+            matchedProductId: any;
+            matchedProductName: any;
+            source: string;
+            availableQuantity: number;
+            missingQuantity: number;
+        } | {
+            ingredientId: any;
+            rawName: any;
+            quantity: number;
+            unit: any;
+            note: any;
+            status: AnalysisStatus;
+            matchedProductId: any;
+            matchedProductName: any;
+            source: null;
+            availableQuantity: number;
+            missingQuantity: number;
+        })[];
+        summary: {
+            exactCount: number;
+            pantryCount: number;
+            substituteCount: number;
+            missingCount: number;
+        };
+        shoppingListCandidates: {
+            ingredientId: any;
+            rawName: any;
+            quantity: number;
+            unit: any;
+            missingQuantity: number;
+        }[];
+    }>;
 }
 export {};