Transfer user input to another page

Hi, so I have an advanced search system on one page on my site. Users can filter data in a repeater using dropdowns, inputs, sliders.
I also have a search bar in the footer on my website.
I would like users to be able to search in that search bar on any page, and the result to appear on the advanced search system page.
I got code from here:
https://www.wix.com/velo/forum/community-discussion/trigger-button-click-using-enter-key
And here:
https://www.wix.com/velo/forum/community-discussion/exporting-text-from-input-box-to-another-input-box-on-another-page.
Here is my code:

Master page

 import {local} from 'wix-storage';
 import {session} from 'wix-storage';
 import wixData from 'wix-data';

export function button30_click(event) {
 const searchTerm = $w('#input12').value
   local.setItem("searchTerm", searchTerm); 
}

export function input12_keyPress(event) {
 console.log("You pressed" + event.key);
 if (event.key === "Enter") {
        button30_click(event);    // pressing <Enter> activates the button1() function ... same effect as clicking the button
    } else {
 //
    }
}

Advanced search system page

export function input1_keyPress(event) {
 console.log("You pressed" + event.key);
 if (event.key === "Enter") {
        button29_click(event);    // pressing <Enter> activates the button1() function ... same effect as clicking the button
    } else {
 //
    }
}

$w.onReady(function () {
$w('#input1').value = local.getItem("searchTerm");
})

I am completely stumped to why this is not working.
Could anyone help?