Interesting idea! A game with the main focus being stat customization at request is really unique and have a lot of potential.
The 5 stats presented in the game gives big DND vibes... I look forward to see this character developed further. As you said in the description, in future rounds, you could add some story elements and puzzle to complement intelligence and charisma components... there are a lot of interesting expansions to this game.
One small criticism in this version is how the "distribute" button only checks the player's points distributed on clicking. I think setting up a listener that constantly listens for any value changes and recalculate points would make character customization simpler and quicker.
Great job!