How to sum arrays in multidimentional array and add total array back in array

I have the below array

    Array
    (
        [0] => Array
            (
                [group_description] => Group 1
                [services] => Array
                    (
                        [0] => Array
                            (
                                [service_id] => 1
                                [service_name] => Security
                                [service_total] => 10
                            )

                        [1] => Array
                            (
                                [service_id] => 4
                                [service_name] => Catering
                                [service_total] => 20
                            )
                    )
            )
        [1] => Array
            (
                [group_description] => Group 2
                [services] => Array
                    (
                        [0] => Array
                            (
                                [service_id] => 1
                                [service_name] => Security
                                [service_total] => 6
                            )

                        [1] => Array
                            (
                                [service_id] => 4
                                [service_name] => Catering
                                [service_total] => 15
                            )
                        [2] => Array
                            (
                                [service_id] => 5
                                [service_name] => Lighting
                                [service_total] => 8
                            )
                    )
            )
    )

I want to sum arrays that have the same service and create a total array and put in back in to array like so

    Array
    (
        [0] => Array
            (
                [group_description] => Group 1
                [services] => Array
                    (
                        [0] => Array
                            (
                                [service_id] => 1
                                [service_name] => Security
                                [service_total] => 10
                            )

                        [1] => Array
                            (
                                [service_id] => 4
                                [service_name] => Catering
                                [service_total] => 20
                            )
                    )
            )
        [1] => Array
            (
                [group_description] => Group 2
                [services] => Array
                    (
                        [0] => Array
                            (
                                [service_id] => 1
                                [service_name] => Security
                                [service_total] => 6
                            )

                        [1] => Array
                            (
                                [service_id] => 4
                                [service_name] => Catering
                                [service_total] => 15
                            )
                        [2] => Array
                            (
                                [service_id] => 5
                                [service_name] => Lighting
                                [service_total] => 8
                            )
                    )
            )

        [3] => Array
            (
                [group_description] => Total
                [services] => Array
                    (
                        [0] => Array
                            (
                                [service_id] => 1
                                [service_name] => Security
                                [service_total] => 16
                            )

                        [1] => Array
                            (
                                [service_id] => 4
                                [service_name] => Catering
                                [service_total] => 35
                            )
                        [2] => Array
                            (
                                [service_id] => 5
                                [service_name] => Lighting
                                [service_total] => 8
                            )
                    )
            )
    )

I have tried looping the array and creating a new array while loooping. I used a foreach loop then used the array_search function to see which I am busy with and append to new array. but it does not achieve what i want,I always end up with the same array. Like I am literally caught in a loop. I have seen many examples but i think my case is not similar to examples

     foreach ($array as $value) { 

       if(array_search($value['service_id], array_column($array, 'service_id')) !== false) {
                    $newArray['service_id'] = $value['service_id'];
                    $newArray['service_name'] = $value['service_name'];
                    $newArray['service_total'] = $value['service_total'] + $newArray['service_total'];

                } else{ 
                    $newArray[] = $value; 
                }  
            }