No, this is not right at all. The total income of the United States government is $4 trillion per year. So a $1 trillion loan is 25% of gross annual income. The $3 trillion being added to the debt is 75% of gross annual income.
GDP is not the income of the United States government. But this new debt will be debt of the United States government.
The reality is that we are $29 trillion in debt now and adding to it rapidly. That is 7.25 years of gross income in debt. What would you say to someone that made $100,000 per year and was in debt $725,000?