fix(router.py): support multiple orgs in 1 model definition

Closes https://github.com/BerriAI/litellm/issues/3949

litellm/tests/test_router.py

@@ -1,24 +1,54 @@
 #### What this tests ####
 # This tests litellm router
 
-import sys, os, time, openai
-import traceback, asyncio
+import asyncio
+import os
+import sys
+import time
+import traceback
+
+import openai
 import pytest
 
 sys.path.insert(
     0, os.path.abspath("../..")
 )  # Adds the parent directory to the system path
+import os
+from collections import defaultdict
+from concurrent.futures import ThreadPoolExecutor
+
+import httpx
+from dotenv import load_dotenv
+
 import litellm
 from litellm import Router
 from litellm.router import Deployment, LiteLLM_Params, ModelInfo
-from concurrent.futures import ThreadPoolExecutor
-from collections import defaultdict
-from dotenv import load_dotenv
-import os, httpx
 
 load_dotenv()
 
 
+def test_router_multi_org_list():
+    """
+    Pass list of orgs in 1 model definition,
+    expect a unique deployment for each to be created
+    """
+    router = litellm.Router(
+        model_list=[
+            {
+                "model_name": "*",
+                "litellm_params": {
+                    "model": "openai/*",
+                    "api_key": "my-key",
+                    "api_base": "https://api.openai.com/v1",
+                    "organization": ["org-1", "org-2", "org-3"],
+                },
+            }
+        ]
+    )
+
+    assert len(router.get_model_list()) == 3
+
+
 def test_router_sensitive_keys():
     try:
         router = Router(
@@ -527,9 +557,10 @@ def test_router_context_window_fallback():
     - Send a 5k prompt
     - Assert it works
     """
-    from large_text import text
     import os
 
+    from large_text import text
+
     litellm.set_verbose = False
 
     print(f"len(text): {len(text)}")
@@ -577,9 +608,10 @@ async def test_async_router_context_window_fallback():
     - Send a 5k prompt
     - Assert it works
     """
-    from large_text import text
     import os
 
+    from large_text import text
+
     litellm.set_verbose = False
 
     print(f"len(text): {len(text)}")
@@ -660,9 +692,10 @@ def test_router_context_window_check_pre_call_check_in_group():
     - Send a 5k prompt
     - Assert it works
     """
-    from large_text import text
     import os
 
+    from large_text import text
+
     litellm.set_verbose = False
 
     print(f"len(text): {len(text)}")
@@ -708,9 +741,10 @@ def test_router_context_window_check_pre_call_check_out_group():
     - Send a 5k prompt
     - Assert it works
     """
-    from large_text import text
     import os
 
+    from large_text import text
+
     litellm.set_verbose = False
 
     print(f"len(text): {len(text)}")
@@ -1536,9 +1570,10 @@ def test_router_anthropic_key_dynamic():
 
 def test_router_timeout():
     litellm.set_verbose = True
-    from litellm._logging import verbose_logger
     import logging
 
+    from litellm._logging import verbose_logger
+
     verbose_logger.setLevel(logging.DEBUG)
     model_list = [
         {