SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    51289, 51288, 51287, 51286, 51285, 51284, 
    51283, 8, 51294, 51293, 51291, 51290, 
    94, 142, 62, 141, 27, 22, 23, 18, 86, 51344, 
    120, 51345, 119, 108, 4, 107, 51348, 
    121
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00113

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "42.01"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 60,
      "rows_produced_per_join": 60,
      "filtered": "100.00",
      "index_condition": "((`test_uchur_k`.`cscart_seo_names`.`object_id` in (51289,51288,51287,51286,51285,51284,51283,8,51294,51293,51291,51290,94,142,62,141,27,22,23,18,86,51344,120,51345,119,108,4,107,51348,121)) and (`test_uchur_k`.`cscart_seo_names`.`type` = 'p') and (`test_uchur_k`.`cscart_seo_names`.`dispatch` = '') and (`test_uchur_k`.`cscart_seo_names`.`lang_code` = 'ru') and ((`test_uchur_k`.`cscart_seo_names`.`company_id` = 1) or (`test_uchur_k`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "36.01",
        "eval_cost": "6.00",
        "prefix_cost": "42.01",
        "data_read_per_join": "101K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
4 kepka-uchur-round-patch-cv-chernyy-s-setkoy 40
8 futbolka-uchur-bear-black-t-shirt-3xl 40
18 kepka-uchur-low-cap-cv-taas 40
22 kepka-uchur-logo-mesh-cap-cv-black 40
23 kepka-uchur-logo-mesh-cap-cv-olive 40
27 kepka-uchur-logo-cap-cv-black 40
62 kepka-uchur-everyday-mesh-cv-black 40
86 perchatki-uchur-hunter-lt-cv-taas 40
94 longsliv-uchur-active-cv-taas-ru-2 40
107 panama-letnyaya-uchur-adventure-hat-cv-seryy 40
108 panama-letnyaya-uchur-adventure-hat-cv-chernyy 40
119 kepka-uchur-rubber-patch-cv-chernyy-bez-setki 40
120 kepka-uchur-rubber-patch-cv-chernyy-s-setkoy 40
121 kepka-uchur-round-patch-logo-grey-cv-chernyy-s-setkoy 40
141 kepka-uchur-hex-s-patchem-cv-chernyy 40
142 kepka-uchur-alpha-cv-chernyy 40
51283 futbolka-uchur-bear-black-t-shirt 40
51284 futbolka-uchur-bear-black-t-shirt-ru 40
51285 futbolka-uchur-bear-black-t-shirt-ru-2 40
51286 futbolka-uchur-bear-black-t-shirt-ru-3 40
51287 futbolka-uchur-bear-black-t-shirt-ru-4 40
51288 futbolka-uchur-bear-black-t-shirt-ru-5 40
51289 futbolka-uchur-bear-black-t-shirt-ru-6 40
51290 longsliv-uchur-active-cv-taas 40
51291 longsliv-uchur-active-cv-taas-ru 40
51293 longsliv-uchur-active-cv-taas-ru-4 40
51294 longsliv-uchur-active-cv-taas-ru-5 40
51344 kepka-uchur-rubber-patch-cv-chernyy-s-setkoy-ru 40
51345 kepka-uchur-rubber-patch-cv-chernyy-bez-setki-ru 40
51348 kepka-uchur-round-patch-logo-grey-cv-chernyy-s-setkoy-ru 40