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 (
    12613, 12574, 12615, 12599, 12603, 12582, 
    12549, 12576, 12601
  ) 
  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 0.00031

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 18,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12613,12574,12615,12599,12603,12582,12549,12576,12601) 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)"
    }
  }
}

Result

product_id seo_name seo_path
12549 belgiyskiy-kover-basalt-160x230 265/266/267
12574 belgiyskiy-kover-florense-200x300 265/266/277
12576 belgiyskiy-kover-apatite-160x230 265/266/278
12582 belgiyskiy-kover-prisma-160x230 265/266/278
12599 tureckiy-kover-botanica-bone-bone-160x230 265/266/270
12601 tureckiy-kover-elegant-bone-bone-160x230 265/266/277
12603 tureckiy-kover-zebra-bone-bone-160x230 265/266/270
12613 tureckiy-kover-lama-ii-bone-grey-160x230 265/266/277
12615 tureckiy-kover-wave-160x230 265/266/270