Are you familiar with any specific stores or restaurants in
Munich that would cater to food allergies?
if the problems are just with nuts and eggs, you shouldn't
need to buy any special "free from" products.
The owner of an Indian restaurant in Easingwold caused the death
of a customer by substituting ground peanuts for ground almonds.
This was after he almost killed another customer and had been
warned by trading standards. The owner is now serving a six year
prison sentence.

Indian restaurants are not common in Munich.

My wife (who is severely wheat- and dairy-intolerant) survived
a night out at a Georgian restaurant there, and Georgian food
is not all that intolerance-friendly (it tends to be made of
visually unanalyzable brown stodge). So their information was
ok. She wasn't very impressed with what it tasted like, though.

Turkish food is a good bet since eggs will be easily identifiable
(except for glazes on some kinds of bread - you're probably used
to spotting that), and nuts will only occur in sweet dishes.

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