No general purpose compute was not known during Babbage’s time. He happened to have been in the process of building a Turing complete machine, but that’s largel

No general purpose compute was not known during Babbage’s time. He happened to have been in the process of building a Turing complete machine, but that’s largely accidental - he didn’t understand why it could do so many things and it wasn’t until the work of Hilbert, Gödel, Turing and Church that the picture really came into focus and these machines really started to get built consistently and reliably with a key understanding of what features the machine needed to have. Z3 wasn’t Turing complete and z4 can’t start Turing’s work