In the election of 1800, the Federalist candidate for president, John Adams, received one more electoral vote than the candidate for vice president, Charles Cotesworth Pinckney. This was by design, as the Federalists had arranged for one of their electors to cast his second vote for John Jay instead of Pinckney, to ensure that their candidate for vice president would not tie their candidate for president.
However, Thomas Jefferson and Aaron Burr each received the same number of electoral votes, which due to Burr's lack of integrity caused a constitutional crisis that had the potential to lead to civil war. Why did the Democratic-Republicans fail to enact a similar scheme in order to ensure that Burr would receive one vote fewer than Jefferson?
I want make sure it's clear that my question is not about why the candidates for president and vice president were on the same ballot, nor is it about how this problem was resolved.
I understand in full how the Constitution designed an electoral system without regard to political parties, awarding the vice presidency to the runner-up in the presidential election, how the emergence of political parties virtually guaranteed that the vice president would be the president's most prominent political opponent, and how the parties attempted to work around this issue by each promoting two candidates for president, with the understanding that one was running for president and the other was running for vice president. I also know in detail about the drama that ensued, how is was resolved with James Bayard's abstention, and how the problem was fixed by the Twelfth Amendment. None of that is what I'm asking about.
I'm asking specifically about why the Democratic-Republicans didn't ensure that Jefferson would end up with one more vote than Burr, as the Federalists ensured that Adams had one more vote than Pinckney.
Most sources I've seen simply state that Jefferson and Burr each received 73 electoral votes, without further explanation. Some sources assert, in very generic terms, that the Democratic-Republicans had a similar plan but that it somehow didn't work out. For example, the Wikipedia article states
The Federalists therefore arranged for one of their electors to vote for John Jay rather than for Pinckney. The Democratic-Republicans had a similar plan to have one of their electors cast a vote for another candidate instead of Burr, but failed to execute it
However, I haven't been able to find any source that explains what the plan was, and why it wasn't executed. I haven't even been able to find a source that affirms that such a plan actually existed (other than a vague assertion with no references or details, as in the Wikipedia article), or explains why not, if no such arrangement was made.