After you have logged in to Site Search 360, navigate to Design & Publish, you will then want to update the following controls to get it to work with HubSpot.
#searchBox
#search--button
#searchTrigger
#searchBox
#search--button
#searchResults
Click the green "Publish" button in the upper right hand corner to save your changes.
**THIS IS ONLY NEEDED FOR SITE SEARCH 360 EMBED OPTION
After you have setup everything in the Header Settings as well as Site Search 360. You will need to setup a search results page in HubSpot.
Create a new website page, select the template called "Site Search 360 Search Results - TRUST."
Your Page URL will need to match the Results page URL you defined in Site Search 360.