GPS data logger saving file session problem

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Thanks to chatGPT I finally got a working sketch for a GPS data logger that saves each start/stop button activated session into a single GPX file containing all the data for that session.
But each file/session is saved to the card with an incremental number . What I would achieve is to save each file/session with a date/time stamp coming from the GPS NEMEA data.
I really appreciate any input from somebody.
Following is the code

#include <SPI.h>
#include <SD.h>
#include <TinyGPS++.h>
#include <SoftwareSerial.h>

SoftwareSerial gpsSerial(4, 3); // GPS module on pins 4 (RX) and 3 (TX)
TinyGPSPlus gps;

const int chipSelect = 10;
const int startStopButtonPin = 7;
const int saveWaypointButtonPin = 8;
const int gpsFixLedPin = 6; // LED pin

bool logging = false;
bool buttonState = false; // State of the start/stop button
File logFile;
int logFileIndex = 0; // Log file counter

void setup() {
  Serial.begin(9600);
  gpsSerial.begin(9600);

  pinMode(startStopButtonPin, INPUT_PULLUP);
  pinMode(saveWaypointButtonPin, INPUT_PULLUP);
  pinMode(gpsFixLedPin, OUTPUT);
  digitalWrite(gpsFixLedPin, LOW);

  if (!SD.begin(chipSelect)) {
    Serial.println("SD card initialization failed!");
    while (true); // Stop execution
  }
  Serial.println("SD card is ready.");
}

void loop() {
  while (gpsSerial.available() > 0) {
    gps.encode(gpsSerial.read());
  }

  // Update LED based on GPS fix status and logging status
  if (gps.location.isValid()) {
    if (logging) {
      digitalWrite(gpsFixLedPin, millis() % 1000 < 500 ? HIGH : LOW); // Blink LED
    } else {
      digitalWrite(gpsFixLedPin, HIGH); // Solid LED
    }
  } else {
    digitalWrite(gpsFixLedPin, LOW); // LED off
  }

  // Read the state of the start/stop button
  bool currentButtonState = digitalRead(startStopButtonPin);

  // If the button state has changed
  if (currentButtonState != buttonState) {
    delay(50); // Button debounce
    // If the new button state is pressed
    if (currentButtonState == LOW) {
      if (!logging && gps.location.isValid()) {
        startLogging();
      } else {
        stopLogging();
      }
    }
    buttonState = currentButtonState; // Update button state
  }

  // Handle Save Waypoint Button
  if (digitalRead(saveWaypointButtonPin) == LOW && logging) {
    delay(100); // Button debounce
    if (digitalRead(saveWaypointButtonPin) == LOW && gps.location.isValid()) {
      saveWaypoint();
    }
  }

  if (logging && gps.location.isUpdated()) {
    logGPSData();
  }
}

void startLogging() {
  char filename[25];
  sprintf(filename, "/LOG%03d.GPX", logFileIndex++);
  logFile = SD.open(filename, FILE_WRITE);

  if (logFile) {
    logFile.println("<?xml version=\"1.0\"?>");
    logFile.println("<gpx version=\"1.1\" creator=\"Arduino GPS Logger\">");
    logFile.println("<trk><name>GPS Track</name><trkseg>");
    Serial.println("Started logging GPS data to file: " + String(filename));
    logging = true;
  } else {
    Serial.println("Failed to open log file: " + String(filename));
  }
}

void stopLogging() {
  if (logFile) {
    logFile.println("</trkseg></trk></gpx>");
    logFile.close();
    Serial.println("Stopped logging GPS data.");
    logging = false;
  }
}

void saveWaypoint() {
  logFile.print("<wpt lat=\"");
  logFile.print(gps.location.lat(), 6);
  logFile.print("\" lon=\"");
  logFile.print(gps.location.lng(), 6);
  logFile.print("\"><ele>");
  logFile.print(gps.altitude.meters());
  logFile.print("</ele><time>");
  logFile.print(gps.date.year());
  logFile.print("-");
  logFile.print(gps.date.month());
  logFile.print("-");
  logFile.print(gps.date.day());
  logFile.print("T");
  logFile.print(gps.time.hour());
  logFile.print(":");
  logFile.print(gps.time.minute());
  logFile.print(":");
  logFile.print(gps.time.second());
  logFile.print("Z</time><sat>");
  logFile.print(gps.satellites.value());
  logFile.println("</sat></wpt>");
  Serial.println("Saved waypoint.");
}

void logGPSData() {
  logFile.print("<trkpt lat=\"");
  logFile.print(gps.location.lat(), 6);
  logFile.print("\" lon=\"");
  logFile.print(gps.location.lng(), 6);
  logFile.print("\"><ele>");
  logFile.print(gps.altitude.meters());
  logFile.print("</ele><time>");
  logFile.print(gps.date.year());
  logFile.print("-");
  logFile.print(gps.date.month());
  logFile.print("-");
  logFile.print(gps.date.day());
  logFile.print("T");
  logFile.print(gps.time.hour());
  logFile.print(":");
  logFile.print(gps.time.minute());
  logFile.print(":");
  logFile.print(gps.time.second());
  logFile.print("Z</time><sat>");
  logFile.print(gps.satellites.value());
  logFile.println("</sat></trkpt>");
  Serial.println("Logged GPS data.");
}

P.S.: Pardon for my English .