Indian Passport renewal or my mother with B2 visa

My mom’s b2 visa expires on 2023
Her I 94 expires in August 2021
Applied for I 94 extension and have the receipt as well from us is.
Her Indian passport expires on October 2021…
Not planning to travel now so would like her to stay with us in US until Jan which is allowed.
However want to know will Indian mbassy allow passport renewal for Indian citizen with b2 visa?
If so, what kind of address proof can we provide for my mom as she is a visitor in IS stay in my home.

Yes, her passport can be renewed. See the lines highlighted in yellow, in the attached screenshot below.

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Thanks very much… where can I find the format for notaries undertaking for my mom??