<lightning-input

        type="search"

          onchange={handleSearchKeyChange}

        label="Search..."

        value={searchKey}

        onkeypress={handleEnter}> 

 </lightning-input>

​

  <lightning-button class="slds-m-top_small"

variant="brand"

name="search"

label="Search”

onclick={handleSearch}>

</lightning-button>

​

​

​

 handleEnter(event){

    if(event.keyCode === 13){

      this.handleSearch();

    }

  }