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Tinfoil is good for more than just making hats...
(thelemmy.club)
Thanks to Bletchley Park reading German ciphers, Allied high command could watch the Germans fall for the deception almost in real time.
I am not sure if the Nazis did but I read the Allied forces tried to conceal the fact that they invented radars by making up a saying that carrots improve your eye sight and that is how they were able to spot the German planes so far away. I am about 90%-ish sure of this fact
Both sides had radar in general, and knew about the other side having it.
The carrot propaganda part is true though, but it is specifically about covering up the fact that the allies had developed aircraft intercept radar, i.e. radar mounted on the planes.
https://www.smithsonianmag.com/history/carrots-cant-help-you-see-in-the-dark-heres-how-world-war-ii-propaganda-campaign-popularized-the-myth-28812484/