In every LLM app you have available that can set temperature.

You can try a template like this:

    Turing machine transition table:
    q₀, 0 → q₀, 0, R
    q₀, 1 → q₁, 1, R  
    q₀, B → q₀, B, L
    q₁, 0 → q₁, 0, R
    q₁, 1 → q₀, 1, R
    q₁, B → q₁, B, L

    Current state: [STATE]
    Current symbol: [SYMBOL]
    
    What is the next transition?
    Format: NEW_STATE|WRITE_SYMBOL|DIRECTION

Repeat it, and provide a loop with the IO as indicated by the output.

If you struggle with the notion that an LLM can handle a lookup table from 6 combinations of states and symbols to 6 tuples, you're looking for excuses to disagree and/or don't understand how simple a UTM is.

The above is a sufficient definition for someone who understands a UTM to figure out how to execute the machine step by step.

Let me know when you manage to implement the Fibonacci sequence w/ this. It should be doable since you seem to think you already have a Turing machine implemented on an LLM w/ a loop around it.