It's not that simple. There are a few ways the SPR is used. Apparently, this was a combination of a loan and a sale. So much of the oil will get to the US market within two weeks, while some will be sold on the global market.
Oil pumped in USA is routinely exported too. At the same time it's often cheaper to produce gasoline you buy at the pump from lighter oil imported to the USA.
The stated goal was to limit price growth.
It worked, sorta. The direct amount released could at best influence prices up to about $1 per barrel, but there was hope, and apparently some coordination with other countries for following suit. They did, at least declarative, with even smaller amounts though (their reserves are much much smaller anyway). Still, the signaling seemed to have at least some stabilizing effect, even if perhaps immeasurable, against expected price correction coming anyway, before the announcement about emergence of Omicron cut oil prices by $10 right away. (If one wants Omicron conspiracy, there's a great opportunity.)
Now, I don't know how it exactly works, but in theory Biden can score profit on this if he refills the bunkers at the right time.