Hi Enzo,
Firstly, the movement is a Valjoux VZ, which is smaller than the Valjoux 22, and the precursor to the Valjoux 23. Here is a link with more information:
https://www.cliniquehorlogere.ch/fr/base-chronos/valjoux-reymond-freres-les-bioux/valjoux-vz.html
Secondly, are you certain that the case is white gold rather than yellow gold? The photos might be deceptive, but the tone of the case looks quite yellow as compared to the silver-toned movement parts.
Thirdly, I think that this is a very attractive watch, and worth more than the gold value plus movement value.
EDIT: P.S. It is the chronograph minute hand that has been replaced. The second hand is on the left.
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