[UX] Reset autostop timer whenever autostop config changes on remote machine #13301

Job	Run time
python-test (3.8, tests/unit_tests)	6m 32s
python-test (3.8, tests/test_api.py)	4m 16s
python-test (3.8, tests/test_cli.py)	4m 18s
python-test (3.8, tests/test_config.py)	3m 53s
python-test (3.8, tests/test_global_user_state.py)	4m 0s
python-test (3.8, tests/test_jobs.py)	4m 29s
python-test (3.8, tests/test_list_accelerators.py)	4m 22s
python-test (3.8, tests/test_optimizer_dryruns.py)	5m 59s
python-test (3.8, tests/test_optimizer_random_dag.py)	4m 27s
python-test (3.8, tests/test_storage.py)	3m 58s
python-test (3.8, tests/test_wheels.py)	4m 6s
python-test (3.8, tests/test_spot.py)	3m 59s
python-test (3.8, tests/test_yaml_parser.py)	3m 59s
	58m 18s

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