Unfortunately the Radeon 3400 is a very low-end GPU (hey at least it's not an Intel GPU!), and coupled with a laptop means it will be the low power "mobile" version, so most modern games will only be playable on the very lowest settings at best. However, it is reasonable to assume that a simple poker game (putting aside the awesomeness of this one!) should run on pretty much any hardware that came out in the last 5 years or so, but this one apparently seems to have unusually high GPU requirements somewhat akin to Crysis... If you look in
THIS very useful thread, it seems only the medium to high end GPU's from the last couple of years can run this game smoothly, which means most laptop users are SOL

If your system meets the min requirements you should expect it to be playable on the lowest settings, so this needs to be fixed...