So my question is... Can I pull a single shot(7g) from the triple basket of my bottomless portafilter? I like the depth & shape of this basket for tamping.
No, it will flow as if you forgot to put coffee in the basket, i.e. essentially impossible. A triple basket is TYPICALLY sized for AROUND 21 grams but keep in mind that coffee beans (and thus grounds) vary in density - about +/- 10% from a universal average (if there be such a thing) could be expected.
Your Rancilio double basket that came with the machine should have p/n 40-100-102 stamped on the exterior. This basket has very nice construction although admittedly a little shallow.