Are wills made in India for Indian properties valid in the UAE?

A will was made in India for an Indian property. The will states that "all other properties acquired hereafter should go to my wife".

There was no will made in Dubai for the Dubai house. My husband (non-Muslim) passed away in Dubai.

Can I apply this Indian will for a property in Dubai which was acquired by my husband before his death?

Will the Sharia court accept this will or reject it saying that it is only for Indian properties?

Are wills made in India for Indian properties valid in Dubai?

Appreciate your answer in this regard!