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I think you misunderstand both my own argument and the meaning of ambiguity. "I'm currently located in a hemisphere" is not ambiguous in its meaning due to not knowing which hemisphere you're in. The meaning is ambiguous to the extent that we do not have absolute knowledge of what you are, what it is to be located, or what a hemisphere is - or what "in" is. While you obviously know what those words mean, you do not have absolute, 100% defined boundaries of what they refer to and what they don't. But you would have to have that to have absolute truth.

I may be wrong in this argument, but I don't see how your counterexample refutes it.

I think you run into the problem of definitions. An idea cannot be absolute, perfect truth without total, perfect, complete definitions for its terms. This isn't required for knowledge - the terms can be rough because the ideas are tentative. But for absolute truth, the boundaries of meaning of your terms must be completely determined. But, as the postmoderns pointed out, this requires infinite information - the complete determination of any one term requires its distinction from all other terms. In fact, they didn't go far enough. I'd argue you would need to know the distinction between the term and all other possible terms.

You have to know perfect definitions in order to have the idea in your head be perfectly true. Perfect definitions require infinite information, therefore you cannot know perfect truth.