Toggle the ability to use spacebar when enter is pressed

Question

Currently I am trying to make it so whenever you click enter, it toggles the ability to use the spacebar. It will by default be set to let you not use the spacebar but when the enter key is hit, that is toggled and you can use it. when you click it again you are unable to use it again.

let toggleee = "false"

document.addEventListener("keypress", function(event) {
  if (event.keyCode == 13) {
if (toggleee = "false") {
    let toggleee = "true"
} else if (toggleee = "true") {
    let toggleee = "false"
}
  }
});

document.addEventListener("keypress", function(event) {
  if (event.keyCode == 13) {
      setTimeout(function() {
    // code to execute after delay
    if (toggleee = "false") {
    window.onkeydown = function(e) {
return !(e.keyCode == 32);
}
} else if (toggleee = "true") {
    return;
}
  }, 500);

  }
})

Instead of doing what its intended to do, it ends up making it so spacebar works once and then when you do the toggle it just never works again. Please help it would be greatly appreciated.

Edit: after doing what some comments told me this is the resulting code. Issue is in comments.

let toggleee = false

document.addEventListener("keypress", function(event) {
  if (event.keyCode == 13) {
if (toggleee === false) {
    toggleee = true
} else if (toggleee === true) {
    toggleee = false
}
  }
});

document.addEventListener("keypress", function(event) {
  if (event.keyCode == 13) {
      setTimeout(function() {
    // code to execute after delay
    if (toggleee === false) {
    window.onkeydown = function(e) {
return !(e.keyCode == 32);
}
} else if (toggleee === true) {
    return;
}
  }, 500);

  }
})