Core: Implement Merkle Tree proof generation

[EDOHWARES]

Add the ability to generate a cryptographic proof for a leaf node.

[newmattock]

@newmattock has applied to work on this issue as part of the Stellar Wave Program's 5th wave.

I'd love. to work on this issue.

ℹ️ Repo Maintainers: To accept this application, review their application or assign @newmattock to this issue.

[drips-wave]

Congratulations, @newmattock! 🎉 Your application was accepted by the repo's maintainers, and the issue is due on June 2, 2026.

🧑‍💻 @newmattock: Please resolve the issue such that the repo's maintainers have enough time to review your contribution before the due date. You'll earn Points for completing the issue on-time, which will make you eligible for a share of the Stellar Wave Program's reward pool.

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