You could say that about anything. You want to move left? Point to where it says, RAW, that you can move left.
You can do anything unless the rules forbid it. And there’s nothing forbidding continuing to play after your character is transformed any more than there is anything forbidding you to play while they’re wearing a red shirt.
Why would it matter if it says you die? It’s not like there’s a rule that dead characters can’t take actions. Or that they transform into objects. Or get sent to another plane of existence depending on who they worship and their alignment while leaving an object behind.