Laravel 9 html form submit throws 405. Expects PUT, request is GET

I'm trying to create a simple CRUD application with Laravel 9. I've run into a problem with HTML forms. I've created a page where you can edit data on rabbits existing in my database.

My form

<form name="editRabbitForm" action="{{ url('/rabbit/update') }}" method="PUT">
  {{ csrf_field() }}
  <!-- here be input fields -->
  <button type="submit" class="btn btn-success">Save</button>
  <a type="button" href="/rabbits" class="btn btn-danger">Cancel</a>
</form>

web.php routes

<?php
use Illuminate\Support\Facades\Auth;
use App\Http\Controllers\QuoteController;
use App\Http\Controllers\RabbitController;
use Illuminate\Support\Facades\Route;

Route::get('/rabbits', [RabbitController::class, 'index']);
Route::get('/rabbit/edit/{id}', [RabbitController::class, 'edit']);
Route::put('/rabbit/update', [RabbitController::class, 'update']);

RabbitController.php

<?php

namespace App\Http\Controllers;

use App\Models\Rabbit;
use Illuminate\Http\Request;

class RabbitController extends Controller
{
    public function index() {
        return view('rabbits.index', ['rabbits' => Rabbit::all()]);
    }

    public function edit($id) {
        return view('rabbits.edit', ['rabbit' => Rabbit::where('breed_id', $id)->first()]);
    }

    public function update(Request $request) {
        echo("SOME SORT OF RESULT!");
        var_dump($request);
    }
}

Before I even hit the controller I get an exception reading: The GET method is not supported for this route. Supported methods: PUT.

I really don't get what I'm doing wrong in this scenario