It does depend on your intentions of how you want to use the fog lights.
If the fog lights were being used normally for low visibility conditions, they would be on already, that would be normal.
Again, that will depend on your intended use.
So, you're willing to sacrifice the normal operation of the fog lights to add an auxiliary signal light feature?
If so, you will require a relay for each fog light and the simplest method would be to interrupt the existing fog light power with a NO contact on the relay, using the signal light power to drive the relay.
When the signal light power energizes the relay, power from the normal fog light will pass through the relay, causing the fog light to flash in unison with that signal lamp.
Switching on the normal fog light power will be necessary or, you can defeat the operation by setting the fog light power to off.
Then you could use a DPDT toggle switch to bypass this feature if you ever want to use the fog light for its intended use.
Technically, you could do anything with enough wire and a bag of relays but unless you're knowledgeable in electronics or electrical circuits, I would advise you to not add a complex circuit, you aren't very familiar with.
When, not if, it fails to work properly, are you able to fix it yourself?
What if the failure screws up your signal lights?
Now we're into the legal requirements stuff.
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