fix(deps): update dependency singer-sdk to ~=0.52.2 (#167)

This PR contains the following updates:

| Package | Change | Age | Confidence |
|---|---|---|---|
| [singer-sdk](https://redirect.github.com/meltano/sdk)
([changelog](https://redirect.github.com/meltano/sdk/blob/main/CHANGELOG.md))
| `~=0.51.0` -> `~=0.52.2` |
[![age](https://developer.mend.io/api/mc/badges/age/pypi/singer-sdk/0.52.2?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/pypi/singer-sdk/0.51.0/0.52.2?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|

---

### Release Notes

<details>
<summary>meltano/sdk (singer-sdk)</summary>

###
[`v0.52.2`](https://redirect.github.com/meltano/sdk/blob/HEAD/CHANGELOG.md#v0522-2025-10-22)

[Compare
Source](https://redirect.github.com/meltano/sdk/compare/v0.52.1...v0.52.2)

##### 🐛 Fixes

- [#&#8203;3328](https://redirect.github.com/meltano/sdk/issues/3328)
Support MIT as a license option in templates
- [#&#8203;3327](https://redirect.github.com/meltano/sdk/issues/3327)
Emit a log when requesting a new access token in OAuth taps

###
[`v0.52.1`](https://redirect.github.com/meltano/sdk/blob/HEAD/CHANGELOG.md#v0521-2025-10-22)

[Compare
Source](https://redirect.github.com/meltano/sdk/compare/v0.52.0...v0.52.1)

##### 📦 Packaging changes

- [#&#8203;3325](https://redirect.github.com/meltano/sdk/issues/3325)
Fix `python_version` marker in `backoff` dependency

###
[`v0.52.0`](https://redirect.github.com/meltano/sdk/blob/HEAD/CHANGELOG.md#v0520-2025-10-21)

[Compare
Source](https://redirect.github.com/meltano/sdk/compare/v0.51.0...v0.52.0)

##### ✨ New

- [#&#8203;3311](https://redirect.github.com/meltano/sdk/issues/3311)
New `Stream.preprocess_context` lets developers make changes to the
stream context before it is frozen

##### 🐛 Fixes

- [#&#8203;3322](https://redirect.github.com/meltano/sdk/issues/3322)
Improved error message when a request is being retried, including URL
path and status code
- [#&#8203;3313](https://redirect.github.com/meltano/sdk/issues/3313)
Ignore the `Programming Language :: Python :: 3 :: Only` classifier when
generating `--about` output
- [#&#8203;3312](https://redirect.github.com/meltano/sdk/issues/3312)
Update template readmes to use fewer commands

##### ⚙️ Under the Hood

- [#&#8203;3321](https://redirect.github.com/meltano/sdk/issues/3321)
Delay stream request authentication until right before the request is
sent, so the request is re-authenticated if it needs to be retried
- [#&#8203;3315](https://redirect.github.com/meltano/sdk/issues/3315)
Pass stream logger to the backoff handler
- [#&#8203;3314](https://redirect.github.com/meltano/sdk/issues/3314)
Add `schema` to extra log fields when schema validation fails

##### 📚 Documentation Improvements

- [#&#8203;3316](https://redirect.github.com/meltano/sdk/issues/3316)
Update annotation of `backoff_wait_generator` in example

</details>

---

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pyproject.toml

@@ -22,7 +22,7 @@ classifiers = [
     "Programming Language :: Python :: 3.14",
 ]
 dependencies = [
-    "singer-sdk~=0.51.0",
+    "singer-sdk~=0.52.2",
     "toolz~=1.1.0",
     "typing-extensions>=4.14.1 ; python_full_version < '3.12'",
 ]