Update project dependencies to their latest versions (#17)

This commit updates the project dependencies to their latest compatible versions.
- Relaxed the version constraints in `pyproject.toml` to allow for minor version updates for `fastapi` and `mwoauth`.
- Ran `poetry update` to update the dependencies and the `poetry.lock` file.
- Installed Python 3.13.5 using pyenv to match the project's `.python-version` file.
- Verified the changes by running the test suite.

Co-authored-by: google-labs-jules[bot] <161369871+google-labs-jules[bot]@users.noreply.github.com>

Author: google-labs-jules[bot]

poetry.lock

@@ -9,8 +9,8 @@ license = {text = "MIT"}
 readme = "README.md"
 requires-python = ">=3.13,<4.0"
 dependencies = [
-    "fastapi[standard] (>=0.116.0,<0.117.0)",
-    "mwoauth (>=0.4.0,<0.5.0)",
+    "fastapi[standard] (>=0.116.0,<1.0.0)",
+    "mwoauth (>=0.4.0,<1.0.0)",
     "itsdangerous (>=2.2.0,<3.0.0)",
 ]