Well, I want to be helpful but, at the same time honest. So here goes.
Considering the high price range of decent LED lamps; 75 bucks is a super cheap lamp, and I would think you need several at least another (for side lighting) You say there is a switch to change from flower to bloom...flower and bloom are the same thing
Your box as you determined is too small So called "spirals" are really called or named CFL compact fluorescent lamp.
I recommend you rig up a way to add the old cfl lamps around the box to get better lighting.
IN then future; Buy a bigger tent, or do not use a tent and make a small grow room. Use the little box for vegging seedlings or rooting clones.
I would love to help; However, it is going to be your willingness to adapt your plans in order to achieve the results you are looking for. OK?
Let me know what you think about my suggestions. Peace, lw