chore: move widget source into sidecar repo (widget-src/)

Widget builds from widget-src/ → public/widget.js
Vite outDir updated to ../public
.gitignore excludes node_modules

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

widget-src/src/types.ts

@@ -0,0 +1,26 @@
+export type WidgetConfig = {
+    brand: { name: string; logo: string };
+    colors: { primary: string; primaryLight: string; text: string; textLight: string };
+    captchaSiteKey: string;
+};
+
+export type Doctor = {
+    id: string;
+    name: string;
+    fullName: { firstName: string; lastName: string };
+    department: string;
+    specialty: string;
+    visitingHours: string;
+    consultationFeeNew: { amountMicros: number; currencyCode: string } | null;
+    clinic: { clinicName: string } | null;
+};
+
+export type TimeSlot = {
+    time: string;
+    available: boolean;
+};
+
+export type ChatMessage = {
+    role: 'user' | 'assistant';
+    content: string;
+};