Bug - [Tree view] - [Update search to use the SearchInput component]

[tlabaj]

Describe the problem
A clear and concise description of the problem. Which components are affected?
Update search to use the SearchInput component

patternfly-react/packages/react-core/src/components/Menu/examples/MenuFilteringWithSearchInput.tsx

Lines 48 to 52 in f038112

	<SearchInput
	value={input}
	aria-label="Filter menu items"
	onChange={(_event, value) => handleTextInputChange(value)}
	/>

[MariaAga]

@tlabaj is this an task to remove TreeViewSearch component completely or to use SearchInput in TreeViewSearch?

[tlabaj]

@MariaAga we will still need the TreeViewSearch since the searchi input will be wrapped with a div that has .pf-v5-c-tree-view__search class applied.