Cast Speed and Cast Animation question

Can you please help me understand "cast speed"? Does cast speed include an animation lock, so that if the cast speed of a skill is x time, then my character cannot perform another action until x is over?
I am asking in the context of skills with short durations. Some, in particular Firestorm, has a base default duration just longer than the base cast speed. What I would like to know is if increasing the cast speed shortens the animation, so that I may perform other actions -- specifically, casting a curse - before the duration runs out. Currently, I do not have enough time to curse and have the curse take effect while Firestorm is running. But if I were to increase casting speed significantly, I could? Or am I not understanding animation lock properly?
Thank you
Underrated stats: Basic human decency, small quantum of respect, microportion of compassion
Any tips would be greatly appreciated, thanks!
Underrated stats: Basic human decency, small quantum of respect, microportion of compassion
As far as I can tell, cast speed reduces all casting animations, but it isn't really that noticeable in small quantities.

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