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I afraid I don't know the episode.
The only sources I've found which reference this information seem to be the Suck E. Cheese's page, Wikipedia and a page
which appears to have copied Wikipedia (none of which reference an episode name).
However, it may (slightly) assist to know that the earliest reference I can find to this information is someone called Shadoman
on Wikipedia adding it as Trivia on 9 September 2006
(it looks like all Trivia was removed in 2009). So at least this means it can't be an episode after that date (which only really eliminates the third season).

On the Suck E. Cheese's page, a Zero-Context Example states that there’s an episode of Being Ian that has a parody called “Yucky Cheese”. I’ve been binging the series via Youtube (as I can’t find it on any streaming services), and was wondering if anybody knows which episode contains this parody? Just curious.