Return list of all servers (~2K) using API and pagination - what am I missing?

I cobbled this together from several items in the Automox Labs and API documentation:

$orgID = "myorgid"
$apiKey = 'myapikeyhere'
$filepath = ‘.\ServerInventory.csv’

$page = 0
$limit = 500
$data = @()

Write-Output "Page"

while($true) {
    $headers = @{"Authorization" = "Bearer $apiKey" }
    $url = "https://console.automox.com/api/servers?$orgID?l=$limit&p=$page"
    $response = (Invoke-WebRequest -Method Get -Uri $url -Headers $headers).Content | ConvertFrom-Json
   
    Write-Output $page
    $data += $response
    $page += 1

    if($response.count -lt $limit) {
        break
    }
}
$data | Group-Object display_name | Sort-Object name | Select-Object Count,name `
      | Export-Csv -Path $filepath -NoTypeInformation

The result is that it produces a csv of 500 server names as I’d expect. When I change “$page” to “1” in the script (and change the csv output file name) and run it again, it produces a new, blank csv.

I’ve read this: About Automox API

and feel like I’m doing it correctly, but it seems like I may be missing something - or am just doing something wrong.

Thoughts?