chore(deps): update dependency pydantic to ~=2.13.1 (#434)

This PR contains the following updates:

| Package | Change |
[Age](https://docs.renovatebot.com/merge-confidence/) |
[Confidence](https://docs.renovatebot.com/merge-confidence/) |
|---|---|---|---|
| [pydantic](https://redirect.github.com/pydantic/pydantic)
([changelog](https://docs.pydantic.dev/latest/changelog/)) | `~=2.12.0`
→ `~=2.13.1` |
![age](https://developer.mend.io/api/mc/badges/age/pypi/pydantic/2.13.1?slim=true)
|
![confidence](https://developer.mend.io/api/mc/badges/confidence/pypi/pydantic/2.12.5/2.13.1?slim=true)
|

---

### Release Notes

<details>
<summary>pydantic/pydantic (pydantic)</summary>

###
[`v2.13.1`](https://redirect.github.com/pydantic/pydantic/compare/v2.13.0...v2.13.1)

[Compare
Source](https://redirect.github.com/pydantic/pydantic/compare/v2.13.0...v2.13.1)

###
[`v2.13.0`](https://redirect.github.com/pydantic/pydantic/blob/HEAD/HISTORY.md#v2130-2026-04-13)

[Compare
Source](https://redirect.github.com/pydantic/pydantic/compare/v2.12.5...v2.13.0)

[GitHub
release](https://redirect.github.com/pydantic/pydantic/releases/tag/v2.13.0)

The highlights of the v2.13 release are available in the [blog
post](https://pydantic.dev/articles/pydantic-v2-13-release).
Several minor changes (considered non-breaking changes according to our
[versioning
policy](https://pydantic.dev/docs/validation/2.13/get-started/version-policy/#pydantic-v2))
are also included in this release. Make sure to look into them before
upgrading.

This release contains the updated `pydantic.v1` namespace, matching
version 1.10.26 which includes support for Python 3.14.

##### What's Changed

See the beta releases for all changes sinces 2.12.

##### New Features

- Allow default factories of private attributes to take validated model
data by [@&#8203;Viicos](https://redirect.github.com/Viicos) in
[#&#8203;13013](https://redirect.github.com/pydantic/pydantic/pull/13013)

##### Changes

- Warn when serializing fixed length tuples with too few items by
[@&#8203;arvindsaripalli](https://redirect.github.com/arvindsaripalli)
in
[#&#8203;13016](https://redirect.github.com/pydantic/pydantic/pull/13016)

##### Fixes

- Change type of `Any` when synthesizing `_build_sources` for
`BaseSettings.__init__()` signature in the mypy plugin by
[@&#8203;Viicos](https://redirect.github.com/Viicos) in
[#&#8203;13049](https://redirect.github.com/pydantic/pydantic/pull/13049)
- Fix model equality when using runtime `extra` configuration by
[@&#8203;Viicos](https://redirect.github.com/Viicos) in
[#&#8203;13062](https://redirect.github.com/pydantic/pydantic/pull/13062)

##### Packaging

- Add zizmor for GitHub Actions workflow linting by
[@&#8203;Viicos](https://redirect.github.com/Viicos) in
[#&#8203;13039](https://redirect.github.com/pydantic/pydantic/pull/13039)
- Update jiter to v0.14.0 to fix a segmentation fault on musl Linux by
[@&#8203;Viicos](https://redirect.github.com/Viicos) in
[#&#8203;13064](https://redirect.github.com/pydantic/pydantic/pull/13064)

##### New Contributors

- [@&#8203;arvindsaripalli](https://redirect.github.com/arvindsaripalli)
made their first contribution in
[#&#8203;13016](https://redirect.github.com/pydantic/pydantic/pull/13016)

</details>

---

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Author: canonical-iam

requirements.txt

@@ -3,7 +3,7 @@ ops>=2.0.0
 lightkube==0.19.1
 lightkube-models<1.36
 jsonschema
-pydantic~=2.12.0
+pydantic~=2.13.1
 tenacity~=9.1.2
 yarl
 dacite