moving recursive example to noirjs packages

[signorecello]

As part of NoirJS work, and even though the NoirJS package itself doesn't expose the intermediate stuff, we can still use the backend directly.

For that reason here's a refactor with a working example of recursion on the browser using NoirJS

[socket-security]

New, updated, and removed dependencies detected. Learn more about Socket for GitHub ↗︎

Packages	Version	New capabilities	Transitives	Size	Publisher
@noir-lang/noir_js	0.16.0	None	+4	7.47 MB	noir-lang
@noir-lang/backend_barretenberg	0.7.10	None	+3	17.7 MB	noir-lang
next	13.5.4	eval, network, filesystem, shell, environment	+16	1.1 GB	vercel-release-bot
@nomicfoundation/hardhat-toolbox	3.0.0	None	+40	31.6 MB	fvictorio
@types/mocha	10.0.2	None	+0	96.3 kB	types
@types/react	18.2.28	None	+3	1.6 MB	types
@typechain/ethers-v6	0.4.3	network, filesystem	+7	18.9 MB	ethereum-ts-bot
@nomicfoundation/hardhat-chai-matchers	2.0.2	None	+29	29.1 MB	fvictorio
@nomicfoundation/hardhat-verify	1.1.1	environment	+21	10 MB	fvictorio
@nomicfoundation/hardhat-ethers	3.0.4	None	+28	28.8 MB	fvictorio
@typechain/hardhat	8.0.3	None	+28	28.7 MB	ethereum-ts-bot
@types/react-dom	18.2.7...18.2.13	None	+4/-0	1.63 MB	types
@types/node	20.6.0...18.18.4	None	+0/-0	3.8 MB	types

🚮 Removed packages: @aztec/[email protected], @noir-lang/[email protected], [email protected]

[socket-security]

👍 Dependency issues cleared. Learn more about Socket for GitHub ↗︎

This PR previously contained dependency changes with security issues that have been resolved, removed, or ignored.

Ignoring: [email protected]

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[signorecello]

@SocketSecurity ignore [email protected]