Move beam search in case of chat scenario to sampler.cpp #4720

Job	Run time
cpp-beam_search_causal_lm-notus-7b-v1	15m 0s
cpp-beam_search_causal_lm-Phi-2	16m 50s
cpp-beam_search_causal_lm-Qwen1_5-7B-Chat	33m 12s
cpp-beam_search_causal_lm-ubuntu (./build/samples/cpp/beam_search_causal_lm/beam_search_causal_lm)	15m 55s
cpp-beam_search_causal_lm-ubuntu (python ./samples/python/beam_search_causal_lm/beam_search_causa...	18m 22s
cpp-chat_sample-ubuntu	16m 36s
cpp-greedy_causal_lm-Qwen-7B-Chat	11m 0s
cpp-greedy_causal_lm-redpajama-3b-chat	16m 6s
cpp-greedy_causal_lm-windows	32m 22s
cpp-multinomial-greedy_causal_lm-ubuntu	13m 25s
cpp-Phi-1_5	9m 21s
cpp-prompt_lookup_decoding_lm-ubuntu	12m 45s
cpp-speculative_decoding_lm-ubuntu	13m 22s
cpp-continuous-batching-macos	17m 42s
cpp-continuous-batching-ubuntu	15m 22s
cpp-continuous-batching-windows	22m 33s
visual_language_chat_sample-ubuntu-internvl2	24m 40s
visual_language_chat_sample-ubuntu-minicpm_v2_6	7m 13s
visual_language_chat_sample-ubuntu-llava_1_5 / visual_language_chat_sample-ubuntu-llava	30m 19s
visual_language_chat_sample-ubuntu-llava_next / visual_language_chat_sample-ubuntu-llava	17m 25s
ci/gha_overall_status_causal_lm	1s
	5h 59m 31s

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