Levenstein automata for even moar perf?

### Describe what you are looking for

Noob question: would a levenstein automata in stringzilla allow for even faster fuzzy search?
https://blog.mikemccandless.com/2011/03/lucenes-fuzzyquery-is-100-times-faster.html?m=1
There is also https://arxiv.org/abs/1008.1191

### Can you contribute to the implementation?

- [ ] I can contribute

### Is your feature request specific to a certain interface?

It applies to everything

### Contact Details

_No response_

### Is there an existing issue for this?

- [x] I have searched the existing issues

### Code of Conduct

- [x] I agree to follow this project's Code of Conduct

Start by reviewing the linked Lucene article and arXiv paper, then compare their approach with StringZilla's existing edit-distance and search capabilities. A concrete follow-up would need to define the affected interfaces, benchmark target, and acceptance criteria; the issue currently names none.

Written by the indexing model from the issue text.