feat: add AI deadline extraction and case summary endpoints (Phase 2J)

Add two Claude API-powered endpoints:
- POST /api/ai/extract-deadlines: accepts PDF upload or JSON text, extracts
  legal deadlines using Claude tool_use for structured output
- POST /api/ai/summarize-case: generates AI summary from case events/deadlines,
  caches result in cases.ai_summary

New files:
- internal/services/ai_service.go: AIService with Anthropic SDK integration
- internal/handlers/ai.go: HTTP handlers for both endpoints
- internal/services/ai_service_test.go: tool schema and serialization tests

Uses anthropic-sdk-go v1.27.1 with Claude Sonnet 4.5. AI service is optional —
endpoints only registered when ANTHROPIC_API_KEY is set.

backend/internal/services/ai_service_test.go

@@ -0,0 +1,109 @@
+package services
+
+import (
+	"encoding/json"
+	"testing"
+)
+
+func TestDeadlineExtractionToolSchema(t *testing.T) {
+	// Verify the tool schema serializes correctly
+	data, err := json.Marshal(deadlineExtractionTool)
+	if err != nil {
+		t.Fatalf("failed to marshal tool: %v", err)
+	}
+
+	var parsed map[string]any
+	if err := json.Unmarshal(data, &parsed); err != nil {
+		t.Fatalf("failed to unmarshal tool JSON: %v", err)
+	}
+
+	if parsed["name"] != "extract_deadlines" {
+		t.Errorf("expected name 'extract_deadlines', got %v", parsed["name"])
+	}
+
+	schema, ok := parsed["input_schema"].(map[string]any)
+	if !ok {
+		t.Fatal("input_schema is not a map")
+	}
+
+	if schema["type"] != "object" {
+		t.Errorf("expected schema type 'object', got %v", schema["type"])
+	}
+
+	props, ok := schema["properties"].(map[string]any)
+	if !ok {
+		t.Fatal("properties is not a map")
+	}
+
+	deadlines, ok := props["deadlines"].(map[string]any)
+	if !ok {
+		t.Fatal("deadlines property is not a map")
+	}
+
+	if deadlines["type"] != "array" {
+		t.Errorf("expected deadlines type 'array', got %v", deadlines["type"])
+	}
+
+	items, ok := deadlines["items"].(map[string]any)
+	if !ok {
+		t.Fatal("items is not a map")
+	}
+
+	itemProps, ok := items["properties"].(map[string]any)
+	if !ok {
+		t.Fatal("item properties is not a map")
+	}
+
+	expectedFields := []string{"title", "due_date", "duration_value", "duration_unit", "timing", "trigger_event", "rule_reference", "confidence", "source_quote"}
+	for _, field := range expectedFields {
+		if _, ok := itemProps[field]; !ok {
+			t.Errorf("missing expected field %q in item properties", field)
+		}
+	}
+
+	required, ok := items["required"].([]any)
+	if !ok {
+		t.Fatal("required is not a list")
+	}
+	if len(required) != 8 {
+		t.Errorf("expected 8 required fields, got %d", len(required))
+	}
+}
+
+func TestExtractedDeadlineJSON(t *testing.T) {
+	dueDate := "2026-04-15"
+	d := ExtractedDeadline{
+		Title:         "Statement of Defence",
+		DueDate:       &dueDate,
+		DurationValue: 3,
+		DurationUnit:  "months",
+		Timing:        "after",
+		TriggerEvent:  "service of the Statement of Claim",
+		RuleReference: "Rule 23 RoP",
+		Confidence:    0.95,
+		SourceQuote:   "The defendant shall file a defence within 3 months",
+	}
+
+	data, err := json.Marshal(d)
+	if err != nil {
+		t.Fatalf("failed to marshal: %v", err)
+	}
+
+	var parsed ExtractedDeadline
+	if err := json.Unmarshal(data, &parsed); err != nil {
+		t.Fatalf("failed to unmarshal: %v", err)
+	}
+
+	if parsed.Title != d.Title {
+		t.Errorf("title mismatch: %q != %q", parsed.Title, d.Title)
+	}
+	if *parsed.DueDate != *d.DueDate {
+		t.Errorf("due_date mismatch: %q != %q", *parsed.DueDate, *d.DueDate)
+	}
+	if parsed.DurationValue != d.DurationValue {
+		t.Errorf("duration_value mismatch: %d != %d", parsed.DurationValue, d.DurationValue)
+	}
+	if parsed.Confidence != d.Confidence {
+		t.Errorf("confidence mismatch: %f != %f", parsed.Confidence, d.Confidence)
+	}
+}