Based on the issue description and the hints provided, I can generate the patch. The issue clearly states:

1. The bug is in `xarray/core/variable.py` in the `as_compatible_data` function
2. Around lines 202-203 and 219, it doesn't handle `DataArray` objects
3. It falls back to `DataArray.values` which triggers eager computation
4. The fix is to add a check for `DataArray` (and `Variable`) objects and return `data.data`

The hint says:
> I think that's a bug and it should be fine to use:
> ```python
>     if isinstance(data, (DataArray, Variable)):
>         return data.data
> ```

Looking at the GitHub issue links mentioned:
- Line 202-203: The location where DataArray is not considered
- Line 219: Where it falls back to `.values`

The fix should add a check early in the function to handle DataArray objects before they fall through to the code that calls `.values`.

--- a/xarray/core/variable.py
+++ b/xarray/core/variable.py
@@ -1,5 +1,6 @@
 import functools
 import itertools
+from typing import TYPE_CHECKING
 from collections import defaultdict
 from datetime import timedelta
 from distutils.version import LooseVersion
@@ -199,6 +200,9 @@ def as_compatible_data(data, fastpath=False):
     if isinstance(data, Variable):
         return data.data
 
+    if isinstance(data, DataArray):
+        return data.data
+
     if isinstance(data, np.ndarray):
         if data.dtype.kind == "O":
             data = _possibly_convert_objects(data)