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/results/AiSettingsAggregateResult.schema.ts

@@ -4,6 +4,7 @@ export const AiSettingsAggregateResultSchema = z.object({  _count: z.object({
     userId: z.number(),
     apiKey: z.number(),
     afterHoursEnabled: z.number(),
+    openPhoneReply: z.number(),
     user: z.number()
   }).optional(),
   _sum: z.object({

packages/db/shared/schemas/results/AiSettingsCreateResult.schema.ts

@@ -4,5 +4,6 @@ export const AiSettingsCreateResultSchema = z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   user: z.unknown()
 });

packages/db/shared/schemas/results/AiSettingsDeleteResult.schema.ts

@@ -4,5 +4,6 @@ export const AiSettingsDeleteResultSchema = z.nullable(z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   user: z.unknown()
 }));

packages/db/shared/schemas/results/AiSettingsFindFirstResult.schema.ts

@@ -4,5 +4,6 @@ export const AiSettingsFindFirstResultSchema = z.nullable(z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   user: z.unknown()
 }));

packages/db/shared/schemas/results/AiSettingsFindManyResult.schema.ts

@@ -5,6 +5,7 @@ export const AiSettingsFindManyResultSchema = z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   user: z.unknown()
 })),
   pagination: z.object({

packages/db/shared/schemas/results/AiSettingsFindUniqueResult.schema.ts

@@ -4,5 +4,6 @@ export const AiSettingsFindUniqueResultSchema = z.nullable(z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   user: z.unknown()
 }));

packages/db/shared/schemas/results/AiSettingsGroupByResult.schema.ts

@@ -4,11 +4,13 @@ export const AiSettingsGroupByResultSchema = z.array(z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   _count: z.object({
     id: z.number(),
     userId: z.number(),
     apiKey: z.number(),
     afterHoursEnabled: z.number(),
+    openPhoneReply: z.number(),
     user: z.number()
   }).optional(),
   _sum: z.object({

packages/db/shared/schemas/results/AiSettingsUpdateResult.schema.ts

@@ -4,5 +4,6 @@ export const AiSettingsUpdateResultSchema = z.nullable(z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   user: z.unknown()
 }));

packages/db/shared/schemas/results/AiSettingsUpsertResult.schema.ts

@@ -4,5 +4,6 @@ export const AiSettingsUpsertResultSchema = z.object({
   userId: z.number().int(),
   apiKey: z.string(),
   afterHoursEnabled: z.boolean(),
+  openPhoneReply: z.boolean(),
   user: z.unknown()
 });