Is there a way to save search results (i.e. allow user to re-enter/refresh url of search results) and still see results

Sorry if I explained it poorly. I’m very new to both Laravel and React and it would be best displayed through these examples. Essentially, I’m sending a search to Laravel from React:

    const { data, setData, post, processing, errors, reset } = useForm({
        searchTerm: "",
        searchBy: "",
    });

    const submit = (e) => {
        e.preventDefault();

        post(route("searchCompletion", [data.searchTerm, data.searchBy]));
    };

The search term is the search term and the search method is either category or caption. I have a post route which works, but I’m trying to implement get so that I can re-retrieve the posts that are displayed (i.e. not get an error from http://localhost:8000/search/i?Caption=):

Route::post('/search/{searchTerm}', [SearchController::class, 'index'])->name('searchCompletion');
Route::get('/search/{searchTerm}', [SearchController::class, 'index'])->name('getSearchCompletion');

Also, here is my SearchController for reference:

<?php

namespace AppHttpControllers;

use IlluminateHttpRequest;
use AppModelsPost;
use InertiaInertia;

class SearchController extends Controller
{
    public function index(Request $request) {
        $postsFromSearch = Post::latest()->get();
        $posts = [];

        $userArr = [];

        if ($request->searchBy == "Caption") {
            foreach($postsFromSearch as &$post) {
                if(str_contains($post->caption, $request->searchTerm)) {
                    array_push($posts, $post);
                    
                    array_push($userArr, $post->user->load('profile'));
                }
            }
        }

        return Inertia::render('Posts/Index')->with(compact(['posts', 'userArr']));



    }
}

How to re-render posts with url info.