fix(deps): update dependency pydantic to v2.11.1 (#80)

This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
| [pydantic](https://github.com/pydantic/pydantic) ([changelog](https://docs.pydantic.dev/latest/changelog/)) | project.dependencies | minor | `==2.10.6` -> `==2.11.1` |

---

### Release Notes

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

### [`v2.11.1`](https://github.com/pydantic/pydantic/blob/HEAD/HISTORY.md#v2111-2025-03-28)

[Compare Source](https://github.com/pydantic/pydantic/compare/v2.11.0...v2.11.1)

[GitHub release](https://github.com/pydantic/pydantic/releases/tag/v2.11.1)

##### What's Changed

##### Fixes

-   Do not override `'definitions-ref'` schemas containing serialization schemas or metadata by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11644](https://github.com/pydantic/pydantic/pull/11644)

### [`v2.11.0`](https://github.com/pydantic/pydantic/blob/HEAD/HISTORY.md#v2110-2025-03-27)

[Compare Source](https://github.com/pydantic/pydantic/compare/v2.10.6...v2.11.0)

[GitHub release](https://github.com/pydantic/pydantic/releases/tag/v2.11.0)

##### What's Changed

Pydantic v2.11 is a version strongly focused on build time performance of Pydantic models (and core schema generation in general).
See the [blog post](https://pydantic.dev/articles/pydantic-v2-11-release) for more details.

##### Packaging

-   Bump `pydantic-core` to v2.33.0 by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11631](https://github.com/pydantic/pydantic/pull/11631)

##### New Features

-   Add `encoded_string()` method to the URL types by [@&#8203;YassinNouh21](https://github.com/YassinNouh21) in [#&#8203;11580](https://github.com/pydantic/pydantic/pull/11580)
-   Add support for `defer_build` with `@validate_call` decorator by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11584](https://github.com/pydantic/pydantic/pull/11584)
-   Allow `@with_config` decorator to be used with keyword arguments by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11608](https://github.com/pydantic/pydantic/pull/11608)
-   Simplify customization of default value inclusion in JSON Schema generation by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11634](https://github.com/pydantic/pydantic/pull/11634)
-   Add `generate_arguments_schema()` function by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11572](https://github.com/pydantic/pydantic/pull/11572)

##### Fixes

-   Allow generic typed dictionaries to be used for unpacked variadic keyword parameters by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11571](https://github.com/pydantic/pydantic/pull/11571)
-   Fix runtime error when computing model string representation involving cached properties and self-referenced models by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11579](https://github.com/pydantic/pydantic/pull/11579)
-   Preserve other steps when using the ellipsis in the pipeline API by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11626](https://github.com/pydantic/pydantic/pull/11626)
-   Fix deferred discriminator application logic by [@&#8203;Viicos](https://github.com/Viicos) in [#&#8203;11591](https://github.com/pydantic/pydantic/pull/11591)

##### New Contributors

-   [@&#8203;cmenon12](https://github.com/cmenon12) made their first contribution in [#&#8203;11562](https://github.com/pydantic/pydantic/pull/11562)
-   [@&#8203;Jeukoh](https://github.com/Jeukoh) made their first contribution in [#&#8203;11611](https://github.com/pydantic/pydantic/pull/11611)

</details>

---

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Reviewed-on: #80
Co-authored-by: Renovate <renovate@csw.im>
Co-committed-by: Renovate <renovate@csw.im>

pyproject.toml

@@ -16,7 +16,7 @@ dependencies = [
   "pillow==10.4.0",
   "pip==25.0.1",
   "py-dactyl",
-  "pydantic==2.10.6",
+  "pydantic==2.11.1",
   "red-discordbot==3.5.18",
   "watchdog==6.0.0",
   "websockets==15.0.1",