feat(GRO-1174): persist petSizeCategory and petCoatType from booking

- Add petSizeCategory and petCoatType to bookingSchema zod validator (optional)
- Save coatType to pets row on booking creation
- Add coatType and petSizeCategory columns to pets DB schema
- Add coatType and petSizeCategory to Pet interface in @groombook/types

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

packages/types/src/index.ts

@@ -41,10 +41,6 @@ export interface Pet {
   specialCareNotes: string | null;
   coatType: string | null;
   petSizeCategory: string | null;
-  preferredCuts: string[];
-  medicalAlerts: MedicalAlert[];
-  temperamentScore?: number;
-  temperamentFlags?: string[];
   customFields: Record<string, string>;
   photoKey?: string;
   photoUploadedAt?: string;