Move beam search in case of chat scenario to sampler.cpp #6039

Job	Run time
cpp-beam_search_causal_lm-ubuntu (./build/samples/cpp/beam_search_causal_lm/beam_search_causal_lm)	16m 55s
cpp-greedy_causal_lm-windows	26m 3s
cpp-multinomial-greedy_causal_lm-ubuntu	18m 51s
cpp-beam_search_causal_lm-ubuntu (python ./samples/python/beam_search_causal_lm/beam_search_causa...	17m 38s
cpp-beam_search_causal_lm-notus-7b-v1	31m 2s
cpp-beam_search_causal_lm-Phi-2	10m 15s
cpp-beam_search_causal_lm-Qwen1_5-7B-Chat	32m 50s
cpp-chat_sample-ubuntu	16m 5s
cpp-greedy_causal_lm-redpajama-3b-chat	10m 59s
cpp-greedy_causal_lm-Qwen-7B-Chat	10m 13s
cpp-Phi-1_5	8m 30s
cpp-prompt_lookup_decoding_lm-ubuntu	11m 5s
cpp-speculative_decoding_lm-ubuntu	13m 28s
cpp-continuous-batching-macos	20m 18s
cpp-continuous-batching-ubuntu	15m 30s
cpp-continuous-batching-windows	27m 16s
visual_language_chat_sample-ubuntu-internvl2	13m 51s
visual_language_chat_sample-ubuntu-minicpm_v2_6	7m 34s
visual_language_chat_sample-ubuntu-llava_1_5 / visual_language_chat_sample-ubuntu-llava	29m 43s
visual_language_chat_sample-ubuntu-llava_next / visual_language_chat_sample-ubuntu-llava	35m 55s
ci/gha_overall_status_causal_lm	1s
	6h 14m 2s

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