Can I vibe code Sizebay?

Build a virtual fitting room widget and sizing recommendation API using Next.js (App Router), React, Tailwind CSS, PostgreSQL, and Prisma.

DATA MODEL:
1. Brand: id, name, default_unit (cm/in).
2. Product: id, brand_id, shopify_product_id, name, category (top, bottom, dress, footwear).
3. SizeChart: id, product_id, size_label (S, M, L), chest, waist, hip, inseam, shoulder, stretch_factor.
4. UserBodyProfile: id, session_id, height, weight, age, bust_chest, waist, hip, fit_preference (tight, regular, loose).
5. RecommendationLog: id, user_body_profile_id, product_id, recommended_size, confidence_score, metadata.

CORE LOGIC:
1. Embeddable Widget Component:
   - Floating 'Find My Size' button on Shopify PDPs.
   - Modal popup collecting user parameters: Height, Weight, Age, Body Shape (Visual selector for hourly glass, rectangle, pear, inverted triangle), and Fit Preference slider.
   - Calculate estimated anthropometric measurements (bust, waist, hip) using standard BMI and age-adjusted regression formulas if precise measurements are omitted.
2. Sizing Engine:
   - Query product size chart for matching `product_id`.
   - Calculate Euclidean distance between calculated body dimensions and size chart dimensions adjusted for garment stretch_factor and fit_preference offset.
   - Return optimal size_label along with fit intensity (e.g. 'Fits tight on chest, regular on waist').
3. Storefront Integration:
   - Inject recommended size directly into Shopify purchase form select element or trigger alert on PDP.
   - Store session recommendations in LocalStorage to avoid re-prompting users across multiple PDPs.

OUT OF SCOPE:
- Native mobile SDKs.
- Automated PDF size-chart OCR parser (use JSON upload interface for charts).
- Post-purchase return webhooks.

Deliver clean, modern code with API routes `/api/v1/recommend` and `/api/v1/size-charts` using TypeScript.

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