You have left out some details. Even though the closeness of the initial results triggered an automatic recount across every county in Florida, not all of them

You have left out some details. Even though the closeness of the initial results triggered an automatic recount across every county in Florida, not all of them did. The infamous "butterfly ballot" in Palm Beach diverted something like 15% of the vote to Pat Buchanan. Even Buchanan said his votes were unearned due to the construction of the ballot. Bush was listed first and voting for him was unambiguous; Gore was listed second under Bush, but to vote for him one had to punch the 3rd hole down. Buchanan was the first name on the right hand page and the hole corresponding to him was the 2nd one down. The Florida Republican party (and the GOP broadly) did everything to stop the recount, attempting to run out the clock. The Florida supreme court ultimately sided with Gore's claim that the stoppage was illegal, but weeks had already gone by. In your telling Gore kept counting over and over. Finally, there is the way Florida scrubbed the rolls of "illegal" voters. By Florida law, ex-felons were not allowed to vote, even though they had completed their sentences. However, the scrubbing wasn't in good faith. The Secretary of State intentionally did the scrub weeks before the election so there wouldn't be enough time to fix any problems that came up. The majority of the scrubbed votes were not ex-felons, and overwhelmingly those affected were likely to vote D (if they voted). For instance, if your name was D'Andre Weber born in 1975, your name was removed from the list if Florida found any D'Andre Weber born in 1975 anywhere in the country; no effort was made to be more specific. Kathrine Harris was not only the Florida Secretary of State, but she was also co-chair of Bush's Florida reelection committee.