Agreed with the above. To clarify a bit, there is no such thing as cycled water. A tank, thought of as a system, is cycled when there is a sufficient bacterial population to convert waste ammonia into nitrite and nitrite into nitrate, as it happens (i.e., so when you test the water you will not register any ammonia or nitrite. Most of that happens in the filter media, and some (very little due to surface area and flow) anywhere else. If you have a robust bacterial population you can lose some, or increase bioload, which may cause a mini-cycle (i.e., some ammonia will accumulate and some nitrite) but it won't last long because bacteria reproduce so fast.
No need to use new water, but it is better to use it...just make sure you use conditioner like Prime to take out chlorine and/or chloramine, which kill bacteria. And you can even use the opportunity to clean the substrate.