Fix connectable Bluetooth devices not being seen if the nearest scanner is non-connectable (#80388)

If we saw the non-connectable scanner advertisement first we would reject
the connectable scanner advertisement because it had worse signal strength.

In this case we need to check both

tests/components/bluetooth/test_manager.py

@@ -336,3 +336,51 @@ async def test_switching_adapters_based_on_rssi_connectable_to_non_connectable(
         bluetooth.async_ble_device_from_address(hass, address, True)
         is switchbot_device_poor_signal
     )
+
+
+async def test_connectable_advertisement_can_be_retrieved_with_best_path_is_non_connectable(
+    hass, enable_bluetooth
+):
+    """Test we can still get a connectable BLEDevice when the best path is non-connectable.
+
+    In this case the the device is closer to a non-connectable scanner, but the
+    at least one connectable scanner has the device in range.
+    """
+
+    address = "44:44:33:11:23:45"
+    now = time.monotonic()
+    switchbot_device_good_signal = BLEDevice(address, "wohand_good_signal")
+    switchbot_adv_good_signal = generate_advertisement_data(
+        local_name="wohand_good_signal", service_uuids=[], rssi=-60
+    )
+    inject_advertisement_with_time_and_source_connectable(
+        hass,
+        switchbot_device_good_signal,
+        switchbot_adv_good_signal,
+        now,
+        "hci1",
+        False,
+    )
+
+    assert (
+        bluetooth.async_ble_device_from_address(hass, address, False)
+        is switchbot_device_good_signal
+    )
+    assert bluetooth.async_ble_device_from_address(hass, address, True) is None
+
+    switchbot_device_poor_signal = BLEDevice(address, "wohand_poor_signal")
+    switchbot_adv_poor_signal = generate_advertisement_data(
+        local_name="wohand_poor_signal", service_uuids=[], rssi=-100
+    )
+    inject_advertisement_with_time_and_source_connectable(
+        hass, switchbot_device_poor_signal, switchbot_adv_poor_signal, now, "hci0", True
+    )
+
+    assert (
+        bluetooth.async_ble_device_from_address(hass, address, False)
+        is switchbot_device_good_signal
+    )
+    assert (
+        bluetooth.async_ble_device_from_address(hass, address, True)
+        is switchbot_device_poor_signal
+    )