Identify this YSL

Thrifted this gorgeous bag today! Was wondering if anyone could help me find the name of the style/verify the serial number for me since I can't seem to find it online.

Label says Yves Saint Laurent Rive Gauche
Serial Number is 153940•001013

Thank you in advance! :smile:
It kind of looks like something from the old Muse collection, except not quite- because the bags I'm thinking of had the stitching/details done to look like there was a big Y on the bag. I suck at explaining things lol so this is what I had in mind:

Screenshot 2022-12-23 at 5.01.14 pm.png
It's obviously not quite the same, but assuming the bag is real, maybe you could start there?
 
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I bought a used toy loulou from rebag. It did not come with an authentication card. Should I get it authenticated even if its sold by a reputable seller? Any advice would be appreciated.