Can I embed Brave Search into my personal website?

I would like to embed “Brave Search” into my personal “home page”.
Right now I have Google and Bing search fields on my web site home page so all I need to do is enter a query into the input field and hit enter or click the submit button and it will perform the search and take me to the appropriate sites result page.
I would like to likewise add a BraveSearch as well (actually would prefer to dump bing and add brave) see this example

I tried to use the same HTML code that works for Google and Bing but it does not work.

If this is at all possible I would love to add Brave Search to my personal home page.

Thank you.