download latest zombienet release and place it at ~/local_bridge_testing/bin/zombienet;
build PezkuwiChain binary by running cargo build -p pezkuwi --release --features fast-runtime command in the pezkuwi-sdk repository clone;
build PezkuwiChain Teyrchain binary by running cargo build -p pezkuwi-teyrchain-bin --release command in the pezkuwi-sdk repository clone;
ensure that you have node installed. Additionally, we'll need the globally installed pezkuwi/api-cli package. Use yarn global add @pezkuwi/api-cli to install it.
build Substrate relay by running cargo build -p substrate-relay --release command in the parity-bridges-common repository clone;
copy the substrate-relay binary, built in the previous step, to ~/local_bridge_testing/bin/substrate-relay;

On Mac, you'll also need to do the following:

Install an updated version of bash by installing homebrew and running brew install bash;
Install jq with brew install jq;

After that, any test can be run using the run-test.sh command. Example: ./run-test.sh 0001-asset-transfer

Hopefully, it'll show the "All tests have completed successfully" message in the end. Otherwise, it'll print paths to zombienet process logs, which, in turn, may be used to track locations of all spinned relay and teyrchain nodes.