Georgia didn't do one real recount...counting ballots over and over again that in any other year would have been disqualified by hand or by machine is not going to convince one person....
Georgia held a whole new election. Instead of for president, it was for Georgia senators. Same voters, same machines, and with even more people paying closer attention to every detail of the election. They had poll watchers, ballot watchers, tabulation watchers. They had people watching the people watching. And in the end the democrats had a bigger victory in that most closely watched election than the one in November.
And with no allegation of fraud in the January 5th election, it verifies the integrity of the November 3rd election, with the same results.