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-matching.service.js

@@ -0,0 +1,78 @@
+"use strict";
+var __decorate = (this && this.__decorate) || function (decorators, target, key, desc) {
+    var c = arguments.length, r = c < 3 ? target : desc === null ? desc = Object.getOwnPropertyDescriptor(target, key) : desc, d;
+    if (typeof Reflect === "object" && typeof Reflect.decorate === "function") r = Reflect.decorate(decorators, target, key, desc);
+    else for (var i = decorators.length - 1; i >= 0; i--) if (d = decorators[i]) r = (c < 3 ? d(r) : c > 3 ? d(target, key, r) : d(target, key)) || r;
+    return c > 3 && r && Object.defineProperty(target, key, r), r;
+};
+Object.defineProperty(exports, "__esModule", { value: true });
+exports.RecipeMatchingService = void 0;
+const common_1 = require("@nestjs/common");
+let RecipeMatchingService = class RecipeMatchingService {
+    normalize(value) {
+        return value
+            .toLowerCase()
+            .trim()
+            .replace(/[^a-zåäö0-9\s]/gi, '')
+            .replace(/\s+/g, ' ');
+    }
+    levenshtein(a, b) {
+        const m = a.length;
+        const n = b.length;
+        const dp = Array.from({ length: m + 1 }, (_, i) => Array.from({ length: n + 1 }, (_, j) => (i === 0 ? j : j === 0 ? i : 0)));
+        for (let i = 1; i <= m; i++) {
+            for (let j = 1; j <= n; j++) {
+                dp[i][j] =
+                    a[i - 1] === b[j - 1]
+                        ? dp[i - 1][j - 1]
+                        : 1 + Math.min(dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1]);
+            }
+        }
+        return dp[m][n];
+    }
+    scoreProducts(query, products) {
+        const normalizedQuery = this.normalize(query);
+        return products
+            .map((product) => {
+            const targetName = this.normalize(product.canonicalName || product.name);
+            const targetNormalized = this.normalize(product.normalizedName);
+            if (targetNormalized === normalizedQuery || targetName === normalizedQuery) {
+                return { product, score: 100 };
+            }
+            if (targetName.includes(normalizedQuery) || normalizedQuery.includes(targetName)) {
+                return { product, score: 70 };
+            }
+            const dist = this.levenshtein(normalizedQuery, targetName);
+            const maxLen = Math.max(normalizedQuery.length, targetName.length);
+            const similarity = maxLen === 0 ? 100 : Math.round((1 - dist / maxLen) * 100);
+            return { product, score: similarity };
+        })
+            .filter((s) => s.score >= 40)
+            .sort((a, b) => b.score - a.score)
+            .slice(0, 5);
+    }
+    buildIngredientSuggestions(rawName, alternatives, products) {
+        const variants = alternatives && alternatives.length > 1 ? alternatives : [rawName];
+        const seenIds = new Set();
+        return variants
+            .flatMap((variant) => this.scoreProducts(variant, products))
+            .filter((s) => {
+            if (seenIds.has(s.product.id))
+                return false;
+            seenIds.add(s.product.id);
+            return true;
+        })
+            .sort((a, b) => b.score - a.score)
+            .slice(0, 5)
+            .map((s) => ({
+            productId: s.product.id,
+            productName: s.product.canonicalName || s.product.name,
+            score: s.score,
+        }));
+    }
+};
+exports.RecipeMatchingService = RecipeMatchingService;
+exports.RecipeMatchingService = RecipeMatchingService = __decorate([
+    (0, common_1.Injectable)()
+], RecipeMatchingService);
+//# sourceMappingURL=recipe-matching.service.js.map