I have a module calling another module, I pass kubernetes provider from main to the 1st module which then passes it to the other module. provider passed to 1st module works ok, but the provider passed down from 1st module to other doesn't work

main.tf

data "google_container_cluster" "gke" {
  depends_on = [module.gke]

  name     = var.gke_cluster_name
  project  = var.project_id
  location = var.gke_zone
}

provider "kubernetes" {
  alias                  = "my-kuber"
  host                   = "https://${data.google_container_cluster.gke.endpoint}"
  token                  = data.google_client_config.provider.access_token
  cluster_ca_certificate = base64decode(data.google_container_cluster.gke.master_auth[0].cluster_ca_certificate)
  load_config_file       = false
}

module "first-module" {
  source = "./modules/first-module"

  providers {
    kubernetes.my-kuber = kubernetes.my-kuber
  }
  .
  .
  .
}

first-module.tf

provider "kubernetes" {
  alias = "my-kuber"
}

module "sub-module" {
  source = "./modules/second-module"

  providers {
    kubernetes.my-kuber = kubernetes.my-kuber
  }
  .
  .
  .
}

second-module.tf

provider "kubernetes" {
  alias = "my-kuber"
}

resource "kubernetes_namespace" "ns" {
  provider = kubernetes.my-kuber

  metadata {
    name = var.namespace
  }
}

Here the kubernetes.my-kuber passed down to second_module.tf doesn't have right cluster credentials and it fails

Am I missing something? is passing provider down to sub modules supported?

Thanks in advance