Added another integration test

Author: vinjai

tests/integration/test_writes/test_writes.py

@@ -1522,3 +1522,28 @@ def test_overwrite_to_existing_branch(session_catalog: Catalog, arrow_table_with
     assert (
         delete_snapshot.parent_snapshot_id == main_snapshot.snapshot_id
     )  # Currently overwrite is a delete followed by an append operation
+
+
+@pytest.mark.integration
+def test_intertwined_branch_writes(session_catalog: Catalog, arrow_table_with_null: pa.Table) -> None:
+    identifier = "default.test_concurrent_branch_operations"
+    branch1 = "existing_branch_1"
+    branch2 = "existing_branch_2"
+
+    tbl = _create_table(session_catalog, identifier, {"format-version": "2"}, [arrow_table_with_null])
+
+    assert tbl.metadata.current_snapshot_id is not None
+
+    tbl.manage_snapshots().create_branch(snapshot_id=tbl.metadata.current_snapshot_id, branch_name=branch1).commit()
+
+    tbl.delete("int = 9", branch=branch1)
+
+    tbl.append(arrow_table_with_null)
+
+    tbl.manage_snapshots().create_branch(snapshot_id=tbl.metadata.current_snapshot_id, branch_name=branch2).commit()
+
+    tbl.overwrite(arrow_table_with_null, branch=branch2)
+
+    assert len(tbl.scan().use_ref(branch1).to_arrow()) == 2
+    assert len(tbl.scan().use_ref(branch2).to_arrow()) == 3
+    assert len(tbl.scan().to_arrow()) == 6