Your inner CV boot has a pin hole in it or has deteriorated along the seam where it meets the alloy tube. that's CV grease, not oil, on your engine.
Your engine block is bone dry otherwise, I can see in the photos.
You need a special tool to re-crimp a new boot onto the driveshaft.
You have 2 options, take it to a garage and have them do it OR for a similar cost you could change the whole driveshaft.
If it's an original shaft and it is not worn, I would have the boot changed only.
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