feat: persist AI conversation state in DB and fix LangGraph flow bugs

- Replace in-memory Maps in aiHandoffStore with DB-backed async functions
  using new patient_conversation table (stage + aiHandoff per patient)
- Add afterHoursEnabled to ai_settings table (persists across restarts)
- Fix runtime crash in reschedule-graph: mon/tue/wed variables were out
  of scope in the next-week fallback branch (ReferenceError)
- Wire rescheduleGreeting and generalFallback chat templates through to
  LangGraph nodes so user-configured messages take effect
- Add otherNode to reminder-graph to handle unclassified patient replies
  (e.g. "I want another appointment") and route to booking flow
- Fetch chatTemplates once per webhook request instead of per stage

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

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

@@ -0,0 +1,16 @@
+import * as z from 'zod';
+import type { Prisma } from '../../../generated/prisma';
+import { PatientConversationCreateWithoutUserInputObjectSchema as PatientConversationCreateWithoutUserInputObjectSchema } from './PatientConversationCreateWithoutUserInput.schema';
+import { PatientConversationUncheckedCreateWithoutUserInputObjectSchema as PatientConversationUncheckedCreateWithoutUserInputObjectSchema } from './PatientConversationUncheckedCreateWithoutUserInput.schema';
+import { PatientConversationCreateOrConnectWithoutUserInputObjectSchema as PatientConversationCreateOrConnectWithoutUserInputObjectSchema } from './PatientConversationCreateOrConnectWithoutUserInput.schema';
+import { PatientConversationCreateManyUserInputEnvelopeObjectSchema as PatientConversationCreateManyUserInputEnvelopeObjectSchema } from './PatientConversationCreateManyUserInputEnvelope.schema';
+import { PatientConversationWhereUniqueInputObjectSchema as PatientConversationWhereUniqueInputObjectSchema } from './PatientConversationWhereUniqueInput.schema'
+
+const makeSchema = () => z.object({
+  create: z.union([z.lazy(() => PatientConversationCreateWithoutUserInputObjectSchema), z.lazy(() => PatientConversationCreateWithoutUserInputObjectSchema).array(), z.lazy(() => PatientConversationUncheckedCreateWithoutUserInputObjectSchema), z.lazy(() => PatientConversationUncheckedCreateWithoutUserInputObjectSchema).array()]).optional(),
+  connectOrCreate: z.union([z.lazy(() => PatientConversationCreateOrConnectWithoutUserInputObjectSchema), z.lazy(() => PatientConversationCreateOrConnectWithoutUserInputObjectSchema).array()]).optional(),
+  createMany: z.lazy(() => PatientConversationCreateManyUserInputEnvelopeObjectSchema).optional(),
+  connect: z.union([z.lazy(() => PatientConversationWhereUniqueInputObjectSchema), z.lazy(() => PatientConversationWhereUniqueInputObjectSchema).array()]).optional()
+}).strict();
+export const PatientConversationCreateNestedManyWithoutUserInputObjectSchema: z.ZodType<Prisma.PatientConversationCreateNestedManyWithoutUserInput> = makeSchema() as unknown as z.ZodType<Prisma.PatientConversationCreateNestedManyWithoutUserInput>;
+export const PatientConversationCreateNestedManyWithoutUserInputObjectZodSchema = makeSchema();