Fix broken browser-intake server URLs for product analytics (#3211)

Co-authored-by: ci.datadog-api-spec <packages@datadoghq.com>

Author: api-clients-generation-pipeline[bot]

.generator/schemas/v2/openapi.yaml

@@ -95571,21 +95571,18 @@ paths:
       security:
       - apiKeyAuth: []
       servers:
-      - url: https://{subdomain}.{site}
+      - url: https://{site}
         variables:
           site:
-            default: datadoghq.com
-            description: The regional site for customers.
+            default: browser-intake-datadoghq.com
+            description: The intake domain for the regional site.
             enum:
-            - datadoghq.com
-            - us3.datadoghq.com
-            - us5.datadoghq.com
-            - ap1.datadoghq.com
-            - ap2.datadoghq.com
-            - datadoghq.eu
-          subdomain:
-            default: browser-intake
-            description: The subdomain where the API is deployed.
+            - browser-intake-datadoghq.com
+            - browser-intake-us3-datadoghq.com
+            - browser-intake-us5-datadoghq.com
+            - browser-intake-ap1-datadoghq.com
+            - browser-intake-ap2-datadoghq.com
+            - browser-intake-datadoghq.eu
       - url: '{protocol}://{name}'
         variables:
           name:
@@ -95600,7 +95597,7 @@ paths:
             default: datadoghq.com
             description: Any Datadog deployment.
           subdomain:
-            default: browser-intake
+            default: api
             description: The subdomain where the API is deployed.
       summary: Send server-side events
       tags:

src/datadog_api_client/v2/api/product_analytics_api.py

@@ -76,24 +76,20 @@ def __init__(self, api_client=None):
                 "version": "v2",
                 "servers": [
                     {
-                        "url": "https://{subdomain}.{site}",
+                        "url": "https://{site}",
                         "variables": {
                             "site": {
-                                "description": "The regional site for customers.",
-                                "default_value": "datadoghq.com",
+                                "description": "The intake domain for the regional site.",
+                                "default_value": "browser-intake-datadoghq.com",
                                 "enum_values": [
-                                    "datadoghq.com",
-                                    "us3.datadoghq.com",
-                                    "us5.datadoghq.com",
-                                    "ap1.datadoghq.com",
-                                    "ap2.datadoghq.com",
-                                    "datadoghq.eu",
+                                    "browser-intake-datadoghq.com",
+                                    "browser-intake-us3-datadoghq.com",
+                                    "browser-intake-us5-datadoghq.com",
+                                    "browser-intake-ap1-datadoghq.com",
+                                    "browser-intake-ap2-datadoghq.com",
+                                    "browser-intake-datadoghq.eu",
                                 ],
                             },
-                            "subdomain": {
-                                "description": "The subdomain where the API is deployed.",
-                                "default_value": "browser-intake",
-                            },
                         },
                     },
                     {
@@ -118,7 +114,7 @@ def __init__(self, api_client=None):
                             },
                             "subdomain": {
                                 "description": "The subdomain where the API is deployed.",
-                                "default_value": "browser-intake",
+                                "default_value": "api",
                             },
                         },
                     },