With the triggering options you can change which mouse or keyboard events should the search box react to.
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Live search Options explained
Trigger search when changing a facet on settings? - Will trigger the search if the user changes a check-box, radio button, slider on the front-end search settings panel.
Trigger search when typing? - Triggers the search when the user types in something.
Minimal character count to trigger search - The minimum amount to start the search. Each option above respects this rule.