feat(acir)!: automatically dedupe PublicInputs using a BTreeSet

[TomAFrench]

Related issue(s)

Related to noir-lang/noir#851 (comment)

Description

Summary of changes

This PR swaps out the implementation of PublicInputs to use a BTreeSet for native deduplication of public inputs mapped to the same witness index.

This should only create a breaking change up in noirc_evaluator where we're planning on switching this out for a BTreeSet anyway so this will avoid us having to convert to a Vec before creating the Circuit up there.

We can

Dependency additions / changes

(If applicable.)

Test additions / changes

(If applicable.)

Checklist

• I have tested the changes locally.
• I have formatted the changes with Prettier and/or cargo fmt with default settings.
• I have linked this PR to the issue(s) that it resolves.
• I have reviewed the changes on GitHub, line by line.
• I have ensured all changes are covered in the description.

Additional context

(If applicable.)