I don't know where everyone is getting these in depth understandings of how and when sentience arises. To me, it seems plausible that simply increasing processing power for a sufficiently general algorithm produces sentience. I don't believe in a soul, or that organic matter has special properties that allows sentience to arise.
I could maybe get behind the idea that LLMs can't be sentient, but you generalized to all algorithms. As if human thought is somehow qualitatively different than a sufficiently advanced algorithm.
Even if we find the limit to LLMs and figure out that sentience can't arise (I don't know how this would be proven, but let's say it was), you'd still somehow have to prove that algorithms can't produce sentience, and that only the magical fairy dust in our souls produce sentience.
That's not something that I've bought into yet.