[pre-commit.ci] pre-commit autoupdate (#14325)

* [pre-commit.ci] pre-commit autoupdate

updates:
- [github.com/astral-sh/ruff-pre-commit: v0.14.14 → v0.15.4](https://github.com/astral-sh/ruff-pre-commit/compare/v0.14.14...v0.15.4)
- [github.com/tox-dev/pyproject-fmt: v2.12.1 → v2.16.2](https://github.com/tox-dev/pyproject-fmt/compare/v2.12.1...v2.16.2)
- [github.com/abravalheri/validate-pyproject: v0.24.1 → v0.25](https://github.com/abravalheri/validate-pyproject/compare/v0.24.1...v0.25)

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* updating DIRECTORY.md

* Configure mypy to target Python 3.14 and update to v1.20.0

Agent-Logs-Url: https://github.com/TheAlgorithms/Python/sessions/332481be-4c5f-4412-abf8-6ef4a3913828

Co-authored-by: cclauss <3709715+cclauss@users.noreply.github.com>

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>
Co-authored-by: MaximSmolskiy <MaximSmolskiy@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>
Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: cclauss <3709715+cclauss@users.noreply.github.com>