Conditionally render widgets based on key/value pair Flutter

Question

I am trying to conditionally render widgets based on a state value in MyApp. My idea was the state value would be an integer (1-3). I would have a Map at the top of my project that looks like this:

Map _widgetType = {
  1: WidgetOne(),
  2: WidgetTwo(),
  3: WidgetThree()
};

And then I have a state value called _type that is initialized at 1. I have a function that updates this value based on a selection from a list of options.

void _toggleClipped(int type) {
    setState(() {
      _type = type;
    });
}

The build looks like the below.

@override
  Widget build(BuildContext context) {
  
    return Scaffold(
      appBar: AppBar( 
        title: Text(widget.title),
      ),
      body: SingleChildScrollView(
        child: Column(       
          mainAxisAlignment: MainAxisAlignment.center,
          children: const <Widget>[
            Text(
              "Hi! I'm Matt!",
              style: TextStyle(fontSize: 25),
            ),
            _widgetType[_type],
            Text(
              "Click the button below to clip image!",
              textAlign: TextAlign.center,
              style: TextStyle(fontSize: 25))
          ],
        ),
      ),
    );
  }

The _widgetType[_type] would be the associated widget being rendered based upon the value for _type.

Is this doable in Flutter? I am getting an error saying The values in a const list literal must be constants. Try removing the keyword 'const' from the list literal.