Can you see what part of the mechanism is making the noise? The main adjustments I can think of with the wiper mechanism can be seen in the pics below.
First is the threaded shaft that goes from the actuator to the transverse bar that operates the linkages at each end. It gives some control over the start and end points of the movement. Adjustment is by rotating the hexagonal collar on the left of the left hand picture - it's held tight by a locknut. This however would make adjustment for the whole mechanism not just the drivers side.
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The other adjustment screw is on the door itself but I think that controls the height of the door when closed.
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Some adjustment is also available by adding U-shaped shims in between the actuator and its mounting bracket (seen here on my bench).
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Just a thought - is the spring seized on the transverse rod? I think this is supposed to cushion the movement when the wiper door is fully open. There is a plastic bush that goes between the transverse rod and the spring which can seize up and prevent the spring from doing it's job. The mechanism would still make contact with the whatever it is hitting but probably a little softer.
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Does the wiper door sit correctly when closed?
Can you see which part of the mechanism is hitting the birdcage?
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My wiper linkage isn't in the car at the moment so I can't experiment in situ but does that help? I might have missed something really obvious.