How to check that specific value exists in multidimension array - php

Question

I have session with multidimensions array and this session is update by every form send.
I would like to check if the product_id already exists in my multidimensional array, so as not to add it several times, but only to increase the number of pieces. I create something like a basket. So when somebody add the same product to cart in my session have to check, that this product exists and if exists update just quantity field in array.
I do everything in ajax
array(2) {
[0]=>
array(15) {
["quantity"]=> string(1) "1"
["final_price"]=> string(3) "0.5"
["do_wash"]=> string(2) "on"
["final_wash_price"]=> string(3) "0.2"
["do_bringing"]=> string(2) "on"
["final_bringing_price"]=> string(3) "0.4"
["deposit_price"]=> string(1) "5"
["product_name"]=> string(24) "Talerz płytki Ø 160 mm"
["product_id"]=> string(2) "12"
["product_price"]=> string(3) "0.5"
["product_person_to_bringing"]=> string(1) "1"
["product_wash_price"]=> string(3) "0.2"
["product_bringing_price"]=> string(3) "0.4"
["product_calculate_bringing"]=> string(0) ""
["action"]=> string(9) "send_form"
}
[1]=>
array(15) {
["quantity"]=> string(1) "1"
["final_price"]=> string(3) "0.5"
["do_wash"]=> string(2) "on"
["final_wash_price"]=> string(3) "0.2"
["do_bringing"]=> string(2) "on"
["final_bringing_price"]=> string(3) "0.4"
["deposit_price"]=> string(1) "5"
["product_name"]=> string(24) "Talerz płytki Ø 160 mm"
["product_id"]=> string(2) "12"
["product_price"]=> string(3) "0.5"
["product_person_to_bringing"]=> string(1) "1"
["product_wash_price"]=> string(3) "0.2"
["product_bringing_price"]=> string(3) "0.4"
["product_calculate_bringing"]=> string(0) ""
["action"]=> string(9) "send_form"
}
}
if (isset($_POST['action'])) {
if (!isset($_SESSION['products'])) {
$_SESSION['products'] = [];
}
if (!isset($_SESSION['product'])) {
$_SESSION['product'] = [];
}
$product_object = $_POST;
$_SESSION['product'] = [];
$_SESSION['product'][] = $product_object;
foreach ($_SESSION['product'] as $single_product_array) {
$_SESSION['products'][] = $single_product_array;
}
echo '<pre style="color:#fff;">';
var_dump( $_SESSION['products']);
echo '</pre>';
}
I try to use functions from: PHP multidimensional array search by value and from php.net
$key = array_search(40489, array_column($userdb, 'uid')); but not working for me