Move lm model to async infer #6115

Job	Run time
cpp-beam_search_causal_lm-ubuntu (./build/samples/cpp/beam_search_causal_lm/beam_search_causal_lm)	17m 53s
cpp-beam_search_causal_lm-ubuntu (python ./samples/python/beam_search_causal_lm/beam_search_causa...	17m 40s
cpp-greedy_causal_lm-windows	29m 48s
cpp-multinomial-greedy_causal_lm-ubuntu	18m 20s
cpp-beam_search_causal_lm-notus-7b-v1	32m 19s
cpp-beam_search_causal_lm-Phi-2	17m 3s
cpp-beam_search_causal_lm-Qwen1_5-7B-Chat	34m 13s
cpp-chat_sample-ubuntu	16m 13s
cpp-continuous-batching-macos	21m 35s
cpp-continuous-batching-ubuntu	13m 38s
cpp-continuous-batching-windows	27m 2s
cpp-greedy_causal_lm-Qwen-7B-Chat	10m 22s
cpp-greedy_causal_lm-redpajama-3b-chat	12m 11s
cpp-Phi-1_5	8m 5s
cpp-prompt_lookup_decoding_lm-ubuntu	10m 30s
cpp-speculative_decoding_lm-ubuntu	14m 0s
visual_language_chat_sample-ubuntu-internvl2	24m 53s
visual_language_chat_sample-ubuntu-minicpm_v2_6	8m 16s
visual_language_chat_sample-ubuntu-llava_1_5 / visual_language_chat_sample-ubuntu-llava	14m 9s
visual_language_chat_sample-ubuntu-llava_next / visual_language_chat_sample-ubuntu-llava	19m 7s
ci/gha_overall_status_causal_lm	1s
	6h 7m 18s

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