Lowering the TA is ultimately through adding acid, though the process is accelerated by aeration (which you already have from the spillover) and having the pH be lower during the process, but in your case what is strange is that you are adding LOTS of acid but not having the TA drop. I simply do not understand this. Since you've got a lot of pH rise and you add acid frequently, your TA should be dropping. If you had new plaster or a recent replaster, then this would make sense since plaster curing increases pH, TA and CH, but you never mentioned anything about any sort of new or replaster job.
There can be some pH rise from undissolved chlorine gas outgassing and that will also raise the pH, but to have the TA be stable when adding half a gallon of full-strength Muriatic Acid every week, that would require almost 14 ppm FC to completely outgas as chlorine gas from the pool which seems inconceivable.
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