As a student, are you restricted to living on the temporary lodging facilities (no dependents...besides a dog)?

You don't live in TLFs - those are just larger billeting rooms.  You're thinking of UOQ (Unaccompanied Officer Quarters), which will depend on the occupancy.  However, you can't have pets.

thanks! with a pet are you able to live on on-base housing or off-base housing?

If you're single your options will be the dorms on base or anywhere off base. Depending on when you show up they might be forcing all single dudes to live in the dorms, or allowing (or even encouraging) dudes to live off base if the dorms are full.

If you want to have your pet with you, you will want to live off base since you can't have pets in the dorms and you won't live in the family housing on base since you're single.

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You need to call the director of the student housing at your UPT base. They were pretty strict on making all the single studs stay in the dorms until more new dudes came to fill them. If you coordinate ahead of time you might be able to make arrangements. I would bank on spending some time in the dorms.