Need Help Identifying this Movement - Question for the collective

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My friend has this Gubelin that needs a balance. Can anyone help?

 
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Ok. He gave up and sent me the watch. Mystery solved. I never would have guessed. Peseux 170. He needs a staff. I have a 190. The book says the balance is the same. Do I sacrifice my parts watch for my friend? Do I swap it out for him? <sigh>

 
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How about change the staff...
 
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Sadly, I'm not a watchmaker. Balance staff complete only 😀
I've never replaced just the staff successfully. Not my watch and god knows, he's not paying me.