xtmixed with complex survey design

Hi all,

I have a question regarding multilevel modeling with complex survey design. I set my survey design as:

Then, I run my linear regression model:

But, I want to take into account the clustering that does not belong to the survey design, and I would like to run the following model but it seems that xtmixed does not support svy:

How can I run a model like the one below in stata?

Thanks!