Let`s not buy any pool yet. I`m more concerned whether the defense schedule is still held.
1).can we theoretically prove everything correct 100%?
2). can we do simulation to validate?
3.). if exp, how much time? do we have to buy a pool for 2 hours exp? 3.5 m is too small. Then will it worth to buy more expensive one? Or is it more convenient to schedule 2-3 times gym pool, which won`t be heavily used during break and EARLY norning is always easy.
3). can be worried later. The CRITICAL question is whether we get the correct optimal control. It is not a good idea to plan others before this question xan be addressed. We should go details next few days while you are doing simulation, again double double check. If i found simple derivation mistake, I will worry wheher we should change the original plan.