chore: Switch Noir JS to use execute program instead of circuit #6628

Job	Run time
build-acvm-js	1m 28s
build-nargo	2m 25s
build-noirc-abi	1m 54s
build-noir-wasm	3m 37s
ACVM JS (Browser)	1m 24s
ACVM JS (Node.js)	41s
noirc_abi	1m 21s
noir-js-backend-barretenberg	47s
noir_codegen	1m 8s
Noir JS	1m 42s
Integration Tests (Browser)	6m 3s
Integration Tests (Node)	3m 38s
noir_wasm	1m 58s
End	1s
	28m 7s

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