Bump `aioshelly` to version 13.22.0 (#157629) #1320

Job	Run time
Collect information & changes data	18s
Prepare pre-commit base	15s
Prepare dependencies (3.13)	1m 50s
Check Dockerfile.dev	17s
Prepare dependencies (3.14)	1m 34s
Check Dockerfile	15s
Check script/hassfest/docker/Dockerfile	17s
Check other linters	1m 26s
Check ruff-format	29s
Check ruff	22s
Audit licenses (3.13)	26s
Check pylint	7m 46s
Check pylint on tests	6m 34s
Audit licenses (3.14)	35s
Check mypy	52s
Check all requirements	26s
Check hassfest	1m 31s
Dependency review	0s
Run tests Python ${{ matrix.python-version }} (${{ matrix.group }})	0s
Split tests for full run	0s
Run ${{ matrix.mariadb-group }} tests Python ${{ matrix.python-version }}	0s
Upload test coverage to Codecov (partial suite)	0s
Run ${{ matrix.postgresql-group }} tests Python ${{ matrix.python-version }}	0s
Upload test coverage to Codecov (full suite)	0s
Run tests Python ${{ matrix.python-version }} (${{ matrix.group }})	0s
Upload test results to Codecov	0s
	25m 13s

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