The living dog has a different mix of activity than the dead dog, but neither exhibit behavior at any level that can be termed as free.The living dog's behavior has more degrees of freedom, including that of willed behavior and other phenomena of its mind.
I’m not overlooking complexity at all, and I agree that predictive resolution is practically limited.You are overlooking the complexity of the "state of matter". And you are vague about "determined" - at least, if you mean perfectly predictable via perfect information. Neither one - perfect information, or perfect prediction from it - is available in theory or in practice.
You have a "determinism" in which nothing is certain, and you have to account for the contents of dreams and the workings of logical levels higher than rational thought and so forth.
All matter, alive or dead can register and react to photons.Like people - and millions of other living beings - who can register and react to photon emissions even at small numbers and frequencies. Among other things.
How are you defining freedom?Degrees of freedom. It's a completely rigorous, mathematically and statistically incorporated, central concept.