You can try below. I think it is what you are looking for.

Hii Ross,
If you want to target and add particular fields of your model , you can achieve this by adding this in xml,
id='your_custom_template'  inherit_id='Module_name.Template_ID'
//your functionality of code

and if you want to replace the whole template 
id='Module_name.Template_ID'  name='Name of Template'
//your functionality of code

I Hope this information will helpful for you.
Feel free for further Assistance on contact@geminatecs.com
Thank You,
Geminate Consultancy Services
w : www.geminatecs.com

you can create a custom module and inherit the existing template to make the necessary modifications. Here's a step-by-step guide:

1. Create a new custom module (e.g., custom_website) with the necessary module structure.

2. Inside your custom module, create a new XML file (e.g., custom_searchbar_templates.xml) and define your modifications. The file should be placed in the static/src/snippets/ directory of your custom module.

3. In the XML file, inherit the existing template (website.s_searchbar.autocomplete) using the template tag with the inherit_id attribute. Set the inherit_id value to the original template's id attribute.

4. Within the inherited template, add your default code or modifications.

Here's an example of how your custom_searchbar_templates.xml file might look:

templates id="template" xml:space="preserve">
t t-extend="website.s_searchbar.autocomplete">
#!-- Inherit the existing template 
t t-inherit="website.s_searchbar.autocomplete">
#Add your modifications or default code 
            # For example, adding a default search suggestion 
t t-set="search_suggestion" t-value="'Your default search suggestion'"/>
/t>
/t>
/templates>

in your custom module's manifest file (__manifest__.py), make sure to include the XML file by adding it to the data section:

Hi shubham shiroya,

I get the following error:

AssertionError: Element odoo has extra content: templates, line 3
XML:

xml version="1.0" encoding="utf-8"?>

odoo>

​templates id="template" xml:space="preserve">

​​t t-extend="website.s_searchbar.autocomplete">

​ ​​t t-inherit="website.s_searchbar.autocomplete">

​​​ ​t t-set="search_suggestion"t-value="'Your default search suggestion'"/>

​ ​​/t>

​ ​/t>

​/templates>

/odoo>