LTCG tax on sale of house: Can you add home loan interest to property purchase price to cut capital gains tax?

LTCG tax rate on property sale with no indexation: If a taxpayer does not avail of the Section 24 deduction of Rs 2 lakh on interest paid on a housing loan, then the interest cost can be added to the property price to inflate the purchase price. However, what if you opt for a new tax regime and claim no deduction of Rs 2 lakh? Can you still add interest cost to the purchase price to lower the LTCG and tax on it?