I don't have a 32-bit machine handy to find out by trying, and I've been unable to find out from the versions of Bitcoin Core which one was the last .tar.gz version that will run on a 32-bit intel machine?
I'd usually always recommend to self-compile. It is so easy that it seems pointless downloading binaries.
git clone https://github.com/bitcoin/bitcoin.git
cd bitcoin
git checkout v24.0.1
./autogen.sh
./configure
make -j $(nproc)
sudo make install