Bought new house as a primary residence which got damaged before I was able to move-in. Its being fixed, what will be the tax status of the new house for this year?

You do not enter the purchase of a house on your tax return, nor do you enter whether you have moved in to the house.    You enter mortgage interest paid, property tax paid and possibly loan origination points.   The fact that you have not moved in yet is irrelevant.

HOMEOWNERSHIP DEDUCTIONS

It is very hard for a lot of people to use itemized deductions now that the standard deduction is so much higher.  Your home ownership may not have any effect on your tax due or refund, especially if you purchased the house late in the year.  

Standard Deduction

Your itemized deductions have to be more than your standard deduction before you will see a change in your tax owed or tax refund.  The deductions you enter do not necessarily count “dollar for dollar;” many of them are subject to meeting  tough thresholds—medical expenses, for example, must meet a threshold that is pretty hard to reach.  The software program uses all the IRS rules that apply to the expenses you enter, and it tells you if you have enough to use your itemized deductions or if using the standard deduction is more advantageous for you.  Under the new tax laws, some deductions have been capped—there is a $10,000 limit to the itemized deductions for state, local, property and sales taxes. 

Home Ownership

There is not a first time home buyers credit on a Federal return. That ended in 2010. If your state has such as credit, you will be able to enter it when you prepare your state return.

Buying a home is not a guarantee of a big refund.  Your deductions for homeownership combined with your other deductions (if any) must exceed your standard deduction to change your tax due or refund. If you purchased your home late in the year, you do not even have a full year of home 

ownership deductions.

Your closing costs on your new home are not deductible except for prepaid interest, prepaid property tax or loan origination fees.  There are no deductions for appraisal, inspections, title searches, settlement fees. etc.

Your down payment is not deductible.

Your homeowners insurance for fire, hazard, flood, etc. is not deductible for your own home.

Home improvements, repairs, maintenance, etc. for your own home are not deductible.  

Homeowners Association  (HOA) fees for your own home are not deductible.

Go to Federal> Deductions and Credits> Your Home to enter mortgage interest, property taxes, private mortgage insurance (PMI) and loan origination fees (“points”) that you paid in 2022.  You should have a 1098 from your mortgage lender that shows this information.  Lenders send these in January/early February.

2022 STANDARD DEDUCTION AMOUNTS

SINGLE $12,950  (65 or older + $1750)

MARRIED FILING SEPARATELY $12,950  (65 or older + $1750)

MARRIED FILING JOINTLY $25,900  (65 or older + $1400 per spouse)

HEAD OF HOUSEHOLD  $19,400  (65 or older +$1750)

Legally Blind + $1750

Once you actualy move in, it will qualify as your primary residence. Apart from what has been mentioned, at the time when you decide to sell, you can potentially exclude all or part of the gain. Having  a primary residence can come into play in other situations such as working in multiple states.

https://www.irs.gov/taxtopics/tc701