There have been times I have done way too many workings at once. If you have time to recharge yourself, then your power output may not be too badly impacted, however you will usually run out time. Otherwise, I had literally fallen asleep after finishing multiple workings, and woken up feeling exhausted.
The other element to keep in mind is just that the sheer amount of things you are changing, or the intensity at which you do so, can be jarring when done simultaneously. This is very subjective to the working and individual.
While in some sense, everything can be thought of as a working, usually empowerment is not classified as such, because it is a little more straightforward. At the same time, someone could do a Sun Square to also empower their solar chakra, and that is considered a working.
I would try to base your overall judgement more on your energy expenditure and how much you are trying to do at much. Regarding individual chakra exercise, I would not assume that working on those 3 simultaneously would give any issue, however someone could easily negate this by going overkill on how they approach it.
If you don't notice anything negative side effects from what you are doing, then I believe it is safe to proceed without worry.