Not sure but anything her reasitu becomes a bomb no?
Her attack speed, quantity of her attacks and her range should also be superior to both the duo. Which means she can just spam her reasitu balls and it's an auto win.
Both Deidera and Bambietta have flight so I think Sasori will be a non factor unless he starts in his red puppet form.
Even then she can just fly out of range of his strings lol.
For Deidera- if he manages to damage her in mid- air, a volstanding will not only increase her overall power, but near completely heal her.
Only way I see the puppet duo remotely winning this is to somehow force her in C3 range and they themselves have to be out of it (probably impossible to pull off) or just stalemate with a Deidera suicide bomber C0.
"Art is an eexplosion!!!!!"
All in all, Bambietta takes this handily.