Can I create an array of constructor call functions and call them?

I have inherited a code with a lot of duplication, basically I have 4 different types and for all of them I have to do the same actions. I have managed to refactor most of my code and got stuck to mapping part. Basically, I need to take each object, map it to its corresponding type and save it to a corresponding array. I wanted to put all my constructor calls for each type in an array, iterate over that array and return a function in which I can pass some parameters.

something like this:

    arrayOfArraysToStoreValues = [frstArray, secondArray, thirdArray]

    getGoodConstructor(index, firstParam, secondParam) {
       const arrayOfConstructors = [ new typeOne(firstParam, secondParam), new 
       typeTwo(firstParam, secondParam), new TypeThree(firstParam, secondParam)]
       return arrayOfConstructors[index] 
    }

and I wanted to iterate over it inside my forEach loop

arrayOfArraysToStoreValues[index].push(getGoodConstrucor(index, firstParam, secondParam))

But when I try to do it like this I have an error:

Argument of type ‘type1 | type3 | Type3’ is not assignable to parameter of type ‘Type1 & Type2 & Type3’.
(notice difference between | and & )

Can I do something like this? Is there any other solution that might help me refactor and avoid duplication?
Thank you