Constellation Case Style 555.0012 / 755.0802 - Replacement Constellation Badge?

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Hi all - I just received a vintage Constellation, case style 555.0012 / 755.0802. The case back measures 26.18mm x 28.12mm stainless steel
The outside dimensions outside are 27.18mm x 32.40mm.
Unfortunately, the badge on the case back is missing. Does anyone know if it's possible to get a replacement one? The space where it should be measures around 11mm.

Many thanks for any help.