Beta 3 has an issue where attacking with a Doom Ray can cause stuck turns. The following opt-in patch resolves it.
This patch has not been through our QA yet, it is hot off the presses. But we didn't want to sit on it all weekend if you guys wanted to try it out. To get it do the following:
1. In your Steam client library right click on Galactic Civilizations III
2. Select properties
3. Select the Betas tab
4. Select Opt-in from the drop down list.
http://screencast.com/t/dL5jTohvT