feat: enhance new-patient AI chat flow with full scheduling and eligibility

- Add 3-message intro (self-intro → empathetic ack → new/existing question) via single TwiML response to guarantee delivery order
- Detect reschedule intent from first message; look up existing appointment date
- New patient flow: ask insurance type → MassHealth consent → member ID + DOB → Selenium eligibility check
- Post-eligibility: active → ask appointment date/time with office-hours validation; inactive → ask other insurance or collect contact info
- Date/time collection mirrors reschedule flow: check office day open, ask time, validate against office hours
- Auto-create appointment in schedule for known patients on confirmation; use first available staff member
- Add openPhoneReply toggle (Settings → AI Chat) to respond to any number at any time
- Add 5-minute inactivity timeout: reset conversation to initial stage and clear pending state
- Normalize MassHealth DOB to zero-padded MM/DD/YYYY before Selenium submission
- Expand isExistingPatient classifier to recognize "old patient", "old", "previous", "prior"
- Existing patient confirmation message now acknowledges patient type before asking about insurance

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

packages/db/shared/schemas/objects/AiSettingsUpdateManyMutationInput.schema.ts

@@ -5,7 +5,8 @@ import { BoolFieldUpdateOperationsInputObjectSchema as BoolFieldUpdateOperations
 
 const makeSchema = () => z.object({
   apiKey: z.union([z.string(), z.lazy(() => StringFieldUpdateOperationsInputObjectSchema)]).optional(),
-  afterHoursEnabled: z.union([z.boolean(), z.lazy(() => BoolFieldUpdateOperationsInputObjectSchema)]).optional()
+  afterHoursEnabled: z.union([z.boolean(), z.lazy(() => BoolFieldUpdateOperationsInputObjectSchema)]).optional(),
+  openPhoneReply: z.union([z.boolean(), z.lazy(() => BoolFieldUpdateOperationsInputObjectSchema)]).optional()
 }).strict();
 export const AiSettingsUpdateManyMutationInputObjectSchema: z.ZodType<Prisma.AiSettingsUpdateManyMutationInput> = makeSchema() as unknown as z.ZodType<Prisma.AiSettingsUpdateManyMutationInput>;
 export const AiSettingsUpdateManyMutationInputObjectZodSchema = makeSchema();