You have the relationship reversed.
Higher TA pushes pH to rise. You then add acid to lower pH, and it lowers TA A LITTLE BIT. But the pH bounces back up due to the still high TA. Your TA moves slowly lower and lower, after many rounds of acid adds. There will be a point where pH holds in the high 7 range for a comparatively longer period, therefor requiring less or even little acid. Likely somewhere in the 50-70 TA range.
Working against you is the high TA of the water you use to counter evaporation and other water loss. Due to that, it is very unlikely you ever will need to add anything to move TA higher. Just add water, if really needed!
And there is the balancing act with all the other parameters to keep your CSI in the correct range. Sometimes for that, you need to have the TA higher, as it is harder to change the other factors. Then you get to stay on the "add acid" train. But play with the CSI numbers in PoolMath, as CH, temp, pH and others all influence it too. So it can be like balancing a basketball on the end of a broom.