Move beam search in case of chat scenario to sampler.cpp #4767

Job	Run time
cpp-beam_search_causal_lm-notus-7b-v1	31m 10s
cpp-beam_search_causal_lm-Phi-2	11m 8s
cpp-beam_search_causal_lm-ubuntu (./build/samples/cpp/beam_search_causal_lm/beam_search_causal_lm)	18m 13s
cpp-beam_search_causal_lm-ubuntu (python ./samples/python/beam_search_causal_lm/beam_search_causa...	15m 45s
cpp-chat_sample-ubuntu	15m 15s
cpp-greedy_causal_lm-Qwen-7B-Chat	11m 58s
cpp-greedy_causal_lm-redpajama-3b-chat	15m 37s
cpp-beam_search_causal_lm-Qwen1_5-7B-Chat	17m 6s
cpp-greedy_causal_lm-windows	24m 47s
cpp-multinomial-greedy_causal_lm-ubuntu	16m 59s
cpp-Phi-1_5	8m 25s
cpp-prompt_lookup_decoding_lm-ubuntu	12m 33s
cpp-speculative_decoding_lm-ubuntu	11m 13s
visual_language_chat_sample-ubuntu-minicpm_v2_6	6m 46s
cpp-continuous-batching-macos	19m 58s
cpp-continuous-batching-ubuntu	14m 50s
cpp-continuous-batching-windows	25m 22s
visual_language_chat_sample-ubuntu-internvl2	13m 31s
visual_language_chat_sample-ubuntu-llava_1_5 / visual_language_chat_sample-ubuntu-llava	29m 15s
visual_language_chat_sample-ubuntu-llava_next / visual_language_chat_sample-ubuntu-llava	34m 55s
ci/gha_overall_status_causal_lm	1s
	5h 54m 47s

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