And yet you have not provided the context. Knowledge of what?
You appeal to ordinary language, but attempt to correct what is ordinary said. It is not uncommon to use fact and true interchangeably without confusion or misunderstanding.
Here too you stipulate something that has more to do with what you require of philosophical language than with the way terms are ordinarily used. There is no right way in which belief is connected to truth, despite what you might claim and believe to be true.
Justification is also a problematic concept. Ordinarily it can be used to defend a claim or action that is problematic. More to the point,justification does not mark the difference between truth and belief because a justification may be persuasive but spurious. Conversely, without relevant evaluative knowledge the account used as justication may seem like nonsense.