Greetings, so first of all, yes, you don't need to fertilize Living Soil with conventional fertilizers. BioBizz has no place here; yes, it's organic, but it's a bit different from Living Soil. Here, you need to provide the little creatures inside with different nutrients. What's worse is that you're using tap water for your Living Soil; you should switch to rainwater or osmosis water. Tap water has too many dissolved minerals.
Then as a tip for you, look up your water supplier on Google; they should have the exact data for your tap water online. Calcium, magnesium, etc.
I suspect that's where your pH is slipping; the soil buffers well, but there’s a limit to that.
Proposed solution:
Water with pH downer to 6.3-6.5
Try filtering tap water with an osmosis system, then measure the pH again.
Try switching to organic materials for fertilization that can be processed into the soil (eggshells, etc.).
Personally, I don't believe in Living Soil; it's certainly the purest and cleanest method, but also one of the most labor-intensive when it comes to soil care.