CustomPainter's paint method is not getting called before WidgetsBinding.instance.addPostFrameCallback in case of Multiple navigation

Question

I have a Flutter StatefulWidget and in initState() method I am using WidgetsBinding.instance.addPostFrameCallback to use one instance variable (late List _tracks). like -

WidgetsBinding.instance.addPostFrameCallback((_) {
      for(itr = 0; itr<_tracks.length; itr++){
         // some logic
      }
    });

As this would get invoked after all Widgets are done. In one of the CustomPaint's painter class I am initializing that variable.

SizedBox.expand(
       child: CustomPaint(
            painter: TrackPainter(
                   trackCalculationListener: (tracks) {
                     _tracks = tracks;
              }),
           ),
        ),

It is working fine when I have one screen, i.e the same class. But, When I am adding one screen before that and trying to navigate to this screen from the new screen it is throwing _tracks is not initialized exception. new screen is very basic -

class MainMenu extends StatefulWidget {
  const MainMenu({super.key});

  @override
  State<MainMenu> createState() => _MainMenuState();
}

class _MainMenuState extends State<MainMenu> {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      body: Container(
        color: Colors.white,
        child: ElevatedButton(
          onPressed: () {
            Navigator.push(
                context,
                MaterialPageRoute(
                    builder: (context) => const Play(),
                    maintainState: false));
          },
          child: const Text('play game'),
        ),
      ),
    );
  }
}

In single screen case the paint method of painter is getting called before postFrameCallback but in case of multiple it is not getting before postFrameCallback and because of that the variable is not getting initialized.

reproducible code -

import 'package:flutter/material.dart';

void main() {
  runApp(const MyApp());
}

class MyApp extends StatelessWidget {
  const MyApp({super.key});

  // This widget is the root of your application.
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: 'Flutter Demo',
      theme: ThemeData(
        primarySwatch: Colors.blue,
      ),
      routes: {
        '/mainMenu': (context) => const MainMenu(),
        '/game': (context) => const MyHomePage(title: 'game'),
      },
      initialRoute: '/mainMenu',
    );
  }
}

class MyHomePage extends StatefulWidget {
  const MyHomePage({super.key, required this.title});

  final String title;

  @override
  State<MyHomePage> createState() => _MyHomePageState();
}

class _MyHomePageState extends State<MyHomePage> {
  late List<Rect> _playerTracks;

  @override
  void initState() {
    super.initState();

    WidgetsBinding.instance.addPostFrameCallback((_) {
      print(_playerTracks.length);
    });
  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text(widget.title),
      ),
      body: Center(
        child: Column(
          mainAxisSize: MainAxisSize.min,
          children: <Widget>[
            Container(
              color: Colors.white,
              margin: const EdgeInsets.all(20),
              child: AspectRatio(
                aspectRatio: 1,
                child: SizedBox.expand(
                  child: CustomPaint(
                    painter: RectanglePainter(
                        trackCalculationListener: (playerTracks) =>
                            _playerTracks = playerTracks),
                  ),
                ),
              ),
            )
          ],
        ),
      ),
    );
  }
}

class MainMenu extends StatefulWidget {
  static String route = '/mainMenu';
  const MainMenu({super.key});

  @override
  State<MainMenu> createState() => _MainMenuState();
}

class _MainMenuState extends State<MainMenu> {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      body: Center(
        child: Container(
          height: 200.0,
          color: Colors.white,
          child: ElevatedButton(
            onPressed: () {
              Navigator.pushNamed(context, '/game');
            },
            child: const Text('play game'),
          ),
        ),
      ),
    );
  }
}

class RectanglePainter extends CustomPainter {
  Function(List<Rect>) trackCalculationListener;

  RectanglePainter({required this.trackCalculationListener});

  @override
  void paint(Canvas canvas, Size size) {
    final Rect rect = Offset.zero & size;
    const RadialGradient gradient = RadialGradient(
      center: Alignment(0.7, -0.6),
      radius: 0.2,
      colors: <Color>[Color(0xFFFFFF00), Color(0xFF0099FF)],
      stops: <double>[0.4, 1.0],
    );
    canvas.drawRect(
      rect,
      Paint()..shader = gradient.createShader(rect),
    );
    List<Rect> _playerTracks = [];
    _playerTracks.add(rect);
    trackCalculationListener(_playerTracks);
  }

  @override
  bool shouldRepaint(CustomPainter oldDelegate) => true;
}

I am very new to flutter and would highly appreciate if someone could help me figure out what I am doing wrong here.