docs: Standardize MiniMaxEmbeddings (#24983)

- **Description:** Standardize MiniMaxEmbeddings
  - docs, the issue #24856 
  - model init arg names, the issue #20085

libs/community/tests/integration_tests/embeddings/test_minimax.py

@@ -0,0 +1,19 @@
+from typing import cast
+
+from langchain_core.pydantic_v1 import SecretStr
+
+from langchain_community.embeddings import MiniMaxEmbeddings
+
+
+def test_initialization_with_alias() -> None:
+    """Test minimax embedding model initialization with alias."""
+    api_key = "your-api-key"
+    group_id = "your-group-id"
+
+    embeddings = MiniMaxEmbeddings(  # type: ignore[arg-type, call-arg]
+        api_key=api_key,  # type: ignore[arg-type]
+        group_id=group_id,  # type: ignore[arg-type]
+    )
+
+    assert cast(SecretStr, embeddings.minimax_api_key).get_secret_value() == api_key
+    assert embeddings.minimax_group_id == group_id