Here is full sentence:
On December 23, 1944, one week into the Battle of the Bulge, the cloudy permitting weather began to give way to clear sunny skies over the Ardennes Forest. The USAAF and RAF had been grounded for the time being, unable to assist the troops on the ground, allowing for the rampant German successes. But now the planes began to thunder into the sky and do what they did best. As soon as the clouds parted American and British planes went to work. Raids on German supply routes were carried out and P-47 Thunderbolts, like the one in this lovely painting, hammered ground troops and tanks. Hitler's true ally in the offensive, the weather, had turned against him.
Or you can see here. I'm learning english through short sentence.
Which of the following is correct:
the cloudy permitting weather began to give way to clear sunny skies over the Ardennes Forest.
the cloudy weather permitting began to give way to clear sunny skies over the Ardennes Forest.
I can find "weather permitting" on the internet, can't find "permitting weather". So which is correct?