Vespa PX125 MY, 2005 - Polini 177

Hi guys. I need to help..I would like to buy Polini 177, cosa 2 clutch gear cog with 22 teeth (87473000) and the question is: do I need to buy bigger SI 24/24E (28532800)? Original carburetor is SI 20/20 with oil mix. But I do not know If possible to install ("plug and play") an SI 24/24E WITH oil mix (in this case I don´t want separate lubrication). Or is possible to use old 20/20 (new jets, for sure)..

Thank you very much! david