Add NTP configuration and improve APK directory handling

- Add ntpd.conf with Google NTP servers in Zero-OS customization
- Preserve APK directories (/var/cache/apk, /lib/apk/db) but clean files for apk update capability
- Create /var/lib/ntp directory for drift file
- Comprehensive Zero-OS customization: passwordless root, branding, NTP config

scripts/lib/initramfs.sh

@@ -604,11 +604,40 @@ EOF
 Zero-OS \r \m
 Built on \l
 
+EOF
+    
+    # Create ntpd.conf pointing to Google NTP servers
+    log_info "Creating ntpd.conf with Google NTP servers"
+    cat > "${initramfs_dir}/etc/ntpd.conf" << 'EOF'
+# Zero-OS NTP Configuration
+# Using Google public NTP servers for reliable time sync
+
+server time.google.com iburst
+server time1.google.com iburst
+server time2.google.com iburst
+server time3.google.com iburst
+
+# Fallback to Google IP addresses
+server 216.239.35.0 iburst
+server 216.239.35.4 iburst
+
+# Restrict access (security)
+restrict default kod nomodify notrap nopeer noquery
+restrict -6 default kod nomodify notrap nopeer noquery
+restrict 127.0.0.1
+restrict -6 ::1
+
+# Drift file for time stability
+driftfile /var/lib/ntp/ntp.drift
 EOF
     
     # Set proper permissions
     safe_execute chmod 644 "${initramfs_dir}/etc/motd"
     safe_execute chmod 644 "${initramfs_dir}/etc/issue"
+    safe_execute chmod 644 "${initramfs_dir}/etc/ntpd.conf"
+    
+    # Create ntp drift directory
+    safe_mkdir "${initramfs_dir}/var/lib/ntp"
     
     log_info "Zero-OS customization complete"
 }