Pfizer vaccines account for the majority of vaccines administered in the USA - about 60%
17% of people in the USA had had at least one jab by 28/02/2021:
Our vaccination dataset uses the most recent official numbers from governments and health ministries worldwide. Population estimates for per-capita metrics are based on the United Nations World Population Prospects. Income groups are based on the World Bank classification. A full list of our...
ourworldindata.org
60% of 17% of 331M people in the USA is about 33M. Assume a linear ramp rate of vaccination in that time, so the time-averaged number of people who'd been given a Pfizer vaccine is 17.5M.
Crude annual mortality rate in the USA is 0.9%:
Chart and table of the U.S. death rate from 1950 to 2023. United Nations projections are also included through the year 2100.
www.macrotrends.net
So out of a randomly selected cohort of that size, the expected number of deaths from any cause in three months is (3/12)*0.9%*17.5M = 37,000.
Against which a thousand-odd deaths is barely a rounding error.
Of course, the paper may refer to reported deaths/events from everyone
worldwide who got the Pfizer jab in that interval, in which case the rate of alleged deaths due to the vaccine is even less significant.