fix: prevent double self-introduction in reschedule MSG 2

- reminder-graph: add stripIntroFromFallback() to remove 'Hi! My name is Lisa...'
  from any saved rescheduleGreeting template before using it as the MSG 2 fallback
- reminder-graph: add explicit 'Do NOT introduce yourself' to rescheduleNode Gemini
  prompt so the AI never adds its own intro to MSG 2
- ai-chat-templates-card: add hasIntroPattern() warning on the Reschedule Patients
  template field — shows an amber alert if the saved template starts with a
  self-introduction, guiding users to remove it

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

apps/Frontend/src/components/settings/ai-chat-templates-card.tsx

@@ -48,6 +48,11 @@ function unsupportedVars(text: string): string[] {
   );
 }
 
+/** True if text starts with a self-introduction ("Hi! My name is Lisa…"). */
+function hasIntroPattern(text: string): boolean {
+  return /^(Hi[!,]?\s*)?(My name is|I'?m|I am)\s+/i.test(text.trim());
+}
+
 export function AiChatTemplatesCard() {
   const { toast } = useToast();
 
@@ -203,7 +208,9 @@ export function AiChatTemplatesCard() {
         ) : (
           <form onSubmit={handleSubmit} className="space-y-6">
             {templates_list.map((t) => {
-              const badVars = t.key === "reminderSms" ? unsupportedVars(t.value) : [];
+              const badVars   = t.key === "reminderSms" ? unsupportedVars(t.value) : [];
+              const hasIntro  = t.key === "reschedule"  && hasIntroPattern(t.value);
+              const hasWarn   = badVars.length > 0 || hasIntro;
               return (
                 <div key={t.key} className="space-y-2">
                   <div className="flex items-center gap-2">
@@ -216,7 +223,7 @@ export function AiChatTemplatesCard() {
                     onChange={(e) => t.onChange(e.target.value)}
                     placeholder={t.placeholder}
                     rows={3}
-                    className={`text-sm resize-none ${badVars.length ? "border-amber-400 focus-visible:ring-amber-400" : ""}`}
+                    className={`text-sm resize-none ${hasWarn ? "border-amber-400 focus-visible:ring-amber-400" : ""}`}
                   />
                   {/* Unsupported variable warning */}
                   {badVars.length > 0 && (
@@ -229,6 +236,18 @@ export function AiChatTemplatesCard() {
                       </span>
                     </div>
                   )}
+                  {/* Self-intro warning for reschedule greeting */}
+                  {hasIntro && (
+                    <div className="flex items-start gap-2 rounded-md bg-amber-50 border border-amber-300 px-3 py-2 text-xs text-amber-800">
+                      <span className="mt-0.5">⚠️</span>
+                      <span>
+                        This template starts with a self-introduction ("Hi! My name is Lisa…").
+                        The AI introduction is already sent as a <strong>separate first message</strong> —
+                        this template is only used as the <strong>second message</strong> (the intent response).
+                        Remove the intro to avoid the patient receiving "My name is Lisa…" twice.
+                      </span>
+                    </div>
+                  )}
                   {/* Live preview */}
                   {officeName && t.value.includes("{officeName}") && (
                     <p className="text-xs text-muted-foreground italic pl-1">