Conditionally render widgets based on key/value pair Flutter - 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.