Lagging on Acceleration

I have a 2005 mustang convertible v6, Ive had the car about 3 years and within the past few months it has started to lag when i step on the gas. It seems to only happen when I am fully stopped and I gun it. It is almost like the engine is thinking of what to do because it will start to roll a bit and then accelerate like it should with an open throttle. Im not sure what other information could be needed to try and figure it out but I will answer any and all questions I can. Thank you in advance. Also, I am posting here after trying to find an answer on my own online and I cant find anything that seems to be a common fix even though it seems like it is an issue others have had.
 
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