Support more functionalities for MUSA backend #5381

Job	Run time
run-tests (latest, test_prod)	1m 52s
run-tests (latest, test_core)	3m 1s
run-tests (latest, test_cli)	2m 51s
run-tests (latest, test_big_modeling)	2m 29s
run-tests (latest, test_deepspeed)	2m 29s
run-tests (latest, test_fsdp)	2m 42s
run-tests (latest, test_example_differences)	2m 26s
run-tests (latest, test_checkpoint_step)	4m 42s
run-tests (latest, test_checkpoint_epoch)	3m 42s
run-tests (latest, test_rest)	12m 18s
run-tests (minimum, test_prod)	2m 47s
run-tests (minimum, test_core)	4m 6s
run-tests (minimum, test_cli)	3m 38s
run-tests (minimum, test_big_modeling)	3m 58s
run-tests (minimum, test_deepspeed)	3m 24s
run-tests (minimum, test_fsdp)	3m 30s
run-tests (minimum, test_example_differences)	4m 5s
run-tests (minimum, test_checkpoint_step)	5m 2s
run-tests (minimum, test_checkpoint_epoch)	4m 50s
run-tests (minimum, test_rest)	12m 34s
	1h 26m 26s

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