Nonetheless, the stasis stands in contrast to the pro-reform platform that helped fuel a so-called blue wave for Democrats in November. The newly Democratic-led State Legislature’s first act in January was to pass sweeping changes intended to make it easier for New Yorkers to vote, and Mr. Cuomo had made voting reform one of his legislative priorities this year.

The bill in question concerns affidavit ballots, cast by voters who do not appear in the rolls. They are allowed to vote anyway if they sign an affidavit affirming that they are eligible. The Board of Elections later verifies those claims, setting aside any ballots that it deems invalid.

A ballot can be invalidated for a number of reasons, from the obvious — not being registered — to the more technical, such as leaving parts of the affidavit incomplete.

The bill, which passed almost unanimously in the Assembly and by a comfortable margin in the Senate, would allow affidavit ballots to be counted even if the affidavit was not properly filled out, as long as the voter was eligible and had “substantially complied” with election law. Leaving off one’s former address, for example, would no longer be a “fatal defect.”

More than 2,300 of the roughly 2,800 affidavit ballots cast in the primary election last month were invalidated. Of those, about 100 were disqualified for technical errors in the affidavit, such as a registered Democrat not writing the word “Democrat” in a space for party affiliation.

But the bill is but one of several legal questions swirling over the Queens race and its much-contested affidavit ballots. Separately, lawyers for both campaigns have filed lawsuits asking a judge to review the ballots. Those suits have been shelved until after the Board of Elections recount.