[api] Remove deprecated password authentication (#12819)

tests/integration/fixtures/host_mode_api_password.yaml

@@ -1,14 +0,0 @@
-esphome:
-  name: host-mode-api-password
-host:
-api:
-  password: "test_password_123"
-logger:
-  level: DEBUG
-# Test sensor to verify connection works
-sensor:
-  - platform: template
-    name: Test Sensor
-    id: test_sensor
-    lambda: return 42.0;
-    update_interval: 0.1s

tests/integration/test_host_mode_api_password.py

@@ -1,69 +0,0 @@
-"""Integration test for API password authentication."""
-
-from __future__ import annotations
-
-import asyncio
-
-from aioesphomeapi import APIConnectionError, InvalidAuthAPIError
-import pytest
-
-from .types import APIClientConnectedFactory, RunCompiledFunction
-
-
-@pytest.mark.asyncio
-async def test_host_mode_api_password(
-    yaml_config: str,
-    run_compiled: RunCompiledFunction,
-    api_client_connected: APIClientConnectedFactory,
-) -> None:
-    """Test API authentication with password."""
-    async with run_compiled(yaml_config):
-        # Connect with correct password
-        async with api_client_connected(password="test_password_123") as client:
-            # Verify we can get device info
-            device_info = await client.device_info()
-            assert device_info is not None
-            assert device_info.uses_password is True
-            assert device_info.name == "host-mode-api-password"
-
-            # Subscribe to states to ensure authenticated connection works
-            loop = asyncio.get_running_loop()
-            state_future: asyncio.Future[bool] = loop.create_future()
-            states = {}
-
-            def on_state(state):
-                states[state.key] = state
-                if not state_future.done():
-                    state_future.set_result(True)
-
-            client.subscribe_states(on_state)
-
-            # Wait for at least one state with timeout
-            try:
-                await asyncio.wait_for(state_future, timeout=5.0)
-            except TimeoutError:
-                pytest.fail("No states received within timeout")
-
-            # Should have received at least one state (the test sensor)
-            assert len(states) > 0
-
-        # Test with wrong password - should fail
-        # Try connecting with wrong password
-        try:
-            async with api_client_connected(
-                password="wrong_password", timeout=5
-            ) as client:
-                # If we get here without exception, try to use the connection
-                # which should fail if auth failed
-                await client.device_info_and_list_entities()
-                # If we successfully got device info and entities, auth didn't fail properly
-                pytest.fail("Connection succeeded with wrong password")
-        except (InvalidAuthAPIError, APIConnectionError) as e:
-            # Expected - auth should fail
-            # Accept either InvalidAuthAPIError or generic APIConnectionError
-            # since the client might not always distinguish
-            assert (
-                "password" in str(e).lower()
-                or "auth" in str(e).lower()
-                or "invalid" in str(e).lower()
-            )