feat(health): add health checking endpoints and logic

Introduce health checking functionality with liveness and readiness 
endpoints to monitor the application's status. Implement a health 
checker that verifies database connectivity and provides a simple 
liveness check. Update service routing to use the new health 
checker functionality. Add corresponding unit tests for validation.

health/health.go

@@ -0,0 +1,73 @@
+package health
+
+import (
+	"context"
+	"database/sql"
+	"encoding/json"
+	"log/slog"
+	"net/http"
+	"time"
+)
+
+type Checker struct {
+	db     *sql.DB
+	logger *slog.Logger
+}
+
+func New(db *sql.DB, logger *slog.Logger) *Checker {
+	return &Checker{
+		db:     db,
+		logger: logger,
+	}
+}
+
+type HealthStatus struct {
+	Status string            `json:"status"`
+	Checks map[string]string `json:"checks,omitempty"`
+}
+
+// LivenessHandler checks if the application is running
+// This is a simple check that always returns OK if the handler is reached
+func (h *Checker) LivenessHandler(w http.ResponseWriter, r *http.Request) {
+	w.Header().Set("Content-Type", "application/json")
+	w.WriteHeader(http.StatusOK)
+	_ = json.NewEncoder(w).Encode(HealthStatus{
+		Status: "UP",
+	})
+}
+
+// ReadinessHandler checks if the application is ready to accept traffic
+// This checks database connectivity and other critical dependencies
+func (h *Checker) ReadinessHandler(w http.ResponseWriter, r *http.Request) {
+	ctx, cancel := context.WithTimeout(r.Context(), 5*time.Second)
+	defer cancel()
+
+	checks := make(map[string]string)
+	allHealthy := true
+
+	// Check database connectivity
+	if err := h.db.PingContext(ctx); err != nil {
+		h.logger.With("error", err).Warn("database health check failed")
+		checks["database"] = "DOWN"
+		allHealthy = false
+	} else {
+		checks["database"] = "UP"
+	}
+
+	status := HealthStatus{
+		Status: "UP",
+		Checks: checks,
+	}
+
+	if !allHealthy {
+		status.Status = "DOWN"
+		w.Header().Set("Content-Type", "application/json")
+		w.WriteHeader(http.StatusServiceUnavailable)
+		_ = json.NewEncoder(w).Encode(status)
+		return
+	}
+
+	w.Header().Set("Content-Type", "application/json")
+	w.WriteHeader(http.StatusOK)
+	_ = json.NewEncoder(w).Encode(status)
+}