I can add 1 item to the array it logs [\"50\"] in the console. But when I try to add a second value I get this error \"currentScores.push is not a f
The problem is that push doesn't return a new array, bit the length of the amended array. So you're actually assigning state.stores to a number, which of course doesn't support push.
I can see you're trying to avoid mutating state by attempting to clone the scores array, but push will mutate it, not return a new instance. It might be better to do something like:
const newScores = [...this.state.scores, this.state.scoreInput];
this.setState({ scores: newScores });