FilterPicker does not forward all props to Search component

[tomalec]

Describe the bug
I'm trying to set up a <FilterPicker> with a Search for a custom type. I'm not able to, as for custom type I have to provide autocompleter to the <Search> component, but <FilterProvider> does not forward this config. That results in

react-dom.min.js?ver=16.13.1:61 Uncaught Error: Invalid autocompleter provided to Search component, it requires a completer object when using 'custom' type.
    at Search.getAutocompleter (index.js:77)
    at Search.render (index.js:148)
    at Ie (react-dom.min.js?ver=16.13.1:104)
    at rh (react-dom.min.js?ver=16.13.1:103)
    at zj (react-dom.min.js?ver=16.13.1:228)
    at Th (react-dom.min.js?ver=16.13.1:152)
    at tj (react-dom.min.js?ver=16.13.1:152)
    at Te (react-dom.min.js?ver=16.13.1:146)
    at react-dom.min.js?ver=16.13.1:61
    at unstable_runWithPriority (react.min.js?ver=16.13.1:25)

To Reproduce
Steps to reproduce the behavior:

1. Create <filterPicker> with subfileter that contains a Search for custom type:

    <FilterPicker config={
         label: 'Show',
         staticParams: [ 'period' ],
         param: 'programs',
         filters: [
             {
                 label: 'All Google programs',
                 value: 'all',
             },
             {
                 label: __( 'Single program', 'google-listings-and-ads' ),
                 value: 'single',
                 subFilters: [
                     {
                         component: 'Search',
                         value: 'single_program',
                         path: [ 'select_program' ],
                         settings: {
                             type: 'custom',
                             param: 'programs',
                             getLabels: getProgramLabels,
                             labels: {
                                 placeholder: 'Type to search for a program',
                                 button: 'Single Program',
                             },
                             autocompleter: {
   							  //example from the docs https://github.com/WordPress/gutenberg/tree/master/packages/components/src/autocomplete#usage
                                 name: 'fruit',
                                 // The prefix that triggers this completer
                                 triggerPrefix: '~',
                                 // According to https://github.com/WordPress/gutenberg/tree/master/packages/components/src/autocomplete#usage
                                 // this could be an Object,
                                 // but wc-admin#Search https://woocommerce.github.io/woocommerce-admin/#/components/packages/search/README?id=search
                                 // requires a function
                                 options: [
                                     { visual: '🍎', name: 'Apple', id: 1 },
                                     { visual: '🍊', name: 'Orange', id: 2 },
                                     { visual: '🍇', name: 'Grapes', id: 3 },
                                 ],
                                 // Returns a label for an option like "🍊 Orange"
                                 getOptionLabel: option => (
                                     <span>
                                         <span className="icon" >{ option.visual }</span>{ option.name }
                                     </span>
                                 ),
                                 // Declares that options should be matched by their name
                                 getOptionKeywords: option => [ option.name ],
                                 // Declares that the Grapes option is disabled
                                 isOptionDisabled: option => option.name === 'Grapes',
                                 // Declares completions should be inserted as abbreviations
                                 getOptionCompletion: option => (
                                     <abbr title={ option.name }>{ option.visual }</abbr>
                                 ),
                             }
                         },
                     },
                 ],
             },
         ],
     } />

Expected behavior
The component should render, with a specified autocompleter.

Screenshots

Desktop (please complete the following information):

• OS: [e.g. iOS] Win10
• Browser [e.g. chrome, safari] Chrome, FF

Additional context
I found this bug investigating #6061. So, the given autocomplete config may not work anyway, but at least should bo provided to the Search component.