Updates docs to handle async persister case

[elijahbenizzy]

• Clarifies the concepts to be more relevant to Burr
• Adds docs for async persister in the references

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Important

Updates documentation to clarify sync vs async usage and add async persister references in Burr.

• Concepts:
  • Clarifies sync vs async application usage in sync-vs-async.rst.
  • Adds a comparison section and a table of supported sync/async combinations.
• References:
  • Adds async persister documentation in persister.rst.
  • Documents AsyncBaseStatePersister, AsyncBaseStateLoader, and AsyncBaseStateSaver classes.
• Misc:
  • Fixes order of topics in index.rst to be more relevant to Burr.

^{This description was created by for 7e0792f. It will automatically update as commits are pushed.}

[ellipsis-dev]

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1. docs/concepts/sync-vs-async.rst:10

• Draft comment:
  Typo: 'avaialble' should be 'available'.

1. Use the `async` interfaces when you have I/O-heavy applications that require horizontal scaling, and have available asynchronous APIs (E.G. async LLM APIs)

• Reason this comment was not posted:
  Confidence changes required: 10%
  The word 'avaialble' is misspelled and should be corrected to 'available'.

2. docs/concepts/sync-vs-async.rst:43

• Draft comment:
  Typo: 'suports' should be 'supports'.

are missing a specific implementation). Furthermore, Burr supports the following APIs for both synchronous/asynchronous interfaces:

• Reason this comment was not posted:
  Confidence changes required: 10%
  The word 'suports' is misspelled and should be corrected to 'supports'.

3. docs/concepts/sync-vs-async.rst:53

• Draft comment:
  Typo: 'bellow' should be 'below'.

legacy code, ...) and we give some options to handle that. The table below shows the

• Reason this comment was not posted:
  Confidence changes required: 10%
  The word 'bellow' is misspelled and should be corrected to 'below'.

Workflow ID: wflow_STStILKNcOgfuj1E

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[github-actions]

A preview of 5c18047 is uploaded and can be seen here:

✨ https://burr.dagworks.io/pull/496 ✨

Changes may take a few minutes to propagate. Since this is a preview of production, content with draft: true will not be rendered. The source is here: https://github.com/DAGWorks-Inc/burr/tree/gh-pages/pull/496/

[skrawcz]

added more specificity - since the language is ambiguous by what "application" is being referred to...