Making element in a pool spawn extremely rare

1.21
I have a template pool that is spawned every chunk 4.25 times on average.
I want this pool spawn once in 1000 block radius.
By my counting ((pi*r^2)/S_of_the_chunk)*amount_of_attempth_for_chunk i need to use 52129 weight for empty_pool_element while 1 for foo:bar.
Pool element allows to use 150 weight at max, which results in 347.5 usages of empty_pool_element with weight of 150.
How can i make that less complicated?
My template_pool file below, with foo:bar having 1 weight and empty_pool_element 150
{
  "name": "bar",
  "fallback": "minecraft:empty",
  "elements": [
    {
      "weight": 1,
      "element": {
        "element_type": "minecraft:single_pool_element",
        "location": "foo:bar",
        "projection": "rigid",
        "processors": "minecraft:empty"
      }
    },
    {
      "weight": 150,
      "element": {
        "element_type": "minecraft:empty_pool_element"
      }
    }
  ]
}