Yeah this is sort of in the wrong section. The hat has nothing to do with the timeline placement. Since it's the first of the FS series TMC>>>FS>>>FSA, I believe it comes afterTWW because the fact that there is evidence that FSA is the Imprisoning War of ALttP which comes after it. Also there is no trace of the master sword or ganon, since it's at the bottom of the sea. This is the only game we see Elozze and this Link. In FS it's a different one.

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Yes I know the link doesn't work.