That's a good idea. Something like this maybe: https://www.amazon.com/Whiteside-Router-Bits-RU1600-Standard/dp/B000K29JK0/ref=sr_1_7?crid=3MVKAGK1NI67M&keywords=thin+cut+router+bit&qid=1659925897&sprefix=thin+cut+router+bit%2Caps%2C134&sr=8-7
I would need ~0.65" on the cutting depth though