The mobile home can be considered your residence and "owning a home" if it fits the IRS definition below:
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For you to take a home mortgage interest deduction, your debt must be secured by a qualified home. This means your main home or your second home. A home includes a house, condominium, cooperative, mobile home, house trailer, boat, or similar property that has sleeping, cooking, and toilet facilities."
https://www.irs.gov/publications/p936#en_US_2018_publink1000229901