feat: add save_to to classify and section

[mikesoennichsen]

Summary

Wires save_to into the classify and section methods, both sync and async variants, mirroring the smart save_to behavior shipped for parse, extract, and split in PR #85.

• classify(..., save_to=DIR) → {input_stem}_classify_output.json
• classify(..., save_to=path/to/file.json) → exact path, parent dirs created
• section(..., save_to=DIR) with parsed-markdown string → section_output.json (no redundant prefix)
• section(..., save_to=DIR) with named markdown file/Path → {stem}_section_output.json
• Reuses existing _get_input_filename and _save_response helpers — no new utility code

Reuses the same save_to: str | Path | None = None parameter signature and docstring stanza already on parse, extract, split.

Test plan

• Existing parse/extract/split save_to unit tests still pass
• New parameterized assertions cover classify and section method names in tests/test_save_to.py filename-format and redundant-prefix loops
• 6 new wire-up tests (4 async + 2 sync) mock client.post and assert the file lands at the expected path
• All 35 tests in tests/test_save_to.py pass locally
• Live integration (staging via sdk-testing): 7/7 — sync + async classify + section, both directory mode and full .json path mode

[Copilot]

Pull request overview

Adds save_to support to the classify and section client methods (sync + async), aligning them with the existing “smart save_to” behavior used by parse, extract, and split.

Changes:

• Add save_to: str | Path | None = None wiring to classify() and section() in both LandingAIADE and AsyncLandingAIADE.
• Persist responses via _get_input_filename() + _save_response() to produce consistent auto-generated filenames or honor explicit .json paths.
• Expand tests/test_save_to.py to cover filename formatting for the new method names and add new sync/async save_to wire-up tests.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 6 comments.

File	Description
src/landingai_ade/_client.py	Adds save_to parameters and response-saving behavior to classify/section (sync + async).
tests/test_save_to.py	Extends save_to helper tests for new method names and adds new sync/async classify/section save_to tests.

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