President Donald Trump filed a new lawsuit in Georgia Friday afternoon officially contesting the results of the election and requesting a do-over -- another in a series of long-shot legal bids that have so far met with stiff resistance from the state's Republican election officials.

This latest suit alleges that the state's election code was "disregarded, abandoned, ignored, altered, and otherwise violated," thereby allowing "a sufficient number of illegal votes to be included."

The Trump campaign and its allies have filed similar lawsuits around the country more than 46 times, and have yet to gain traction. On the same day the campaign submitted the new Georgia suit, pro-Trump legal efforts met with defeat in Michigan and Nevada.

A Nevada judge ruled pointedly that the Trump team "failed to meet their burden to provide credible and relevant evidence ... to contest the November 3, 2020 General Election."

The new Georgia case specifically takes issue with changes made prior to the election involving mail-in ballot practices and signature matching rules. It also includes dozens of allegations of fraud based on witness affidavits, but with little evidence.

-ABC News' Olivia Rubin and Matthew Mosk

Following his remarks on the economic crisis Friday afternoon, the president-elect, along with Vice President-elect Kamala Harris, met virtually with the National Association of Counties Board of Directors to discuss the challenges facing local leaders amid the ongoing COVID-19 pandemic.

As he has in meetings with other local officials, Biden stressed the importance of their leadership during this crisis and promised to be a supportive partner in the White House.

“I’ve said this at your national meetings, I’ve said this at the conference of mayors, I’ve said this to the governors. You are the single most consequential government officials," Biden told the group.

Biden talked about the importance of the relationship between local and federal government in implementing federal guidance he expects to deliver on masking, expanded testing and economic relief.

“There’s a strong consensus that we need to move forward in a coordinated way," Biden said.

-ABC News' John Verhovek, Beatrice Peterson and Molly Nagle

Vice President Mike Pence urged voters to cast ballots in Georgia's critical January runoff elections that will determine the fate of the Senate, dismissing Trump allies who asked residents this week to “not vote” until they know votes are secure.

“So between now and when the polls close on January 5, we need you to vote, Georgia," Pence said. "And we need you to tell everybody to get it done. I know we've all got our doubts about the last election. And I actually hear some people saying, just don't vote. My fellow Americans, if you don't vote, they win."

Pence spoke at a “Defend the Majority” rally Friday afternoon at the Savannah/Hilton Head International Airport --- his third appearance for GOP Sens. David Perdue and Kelly Loeffler in their closely watched runoff elections against Democratic opponents Rafael Warnock and Jon Ossoff.

With more detail than usual, Pence walked supporters through the process of how they can request an absentee ballot and reassured voters that drop boxes will be secure and they’d be “on them this time,” alluding to unsubstantiated claims of fraudulent mail-in ballots.

-ABC News' Justin Gomez

Former President Barack Obama headlined a virtual rally Friday for Georgia Democratic Senate candidates Jon Ossoff and Raphael Warnock ahead of the state's Jan. 5 runoff elections -- races that will decide the balance in the Senate.

“This is not just about Georgia, this is about American and this is about the world," Obama said.

"[Georgia is] now, once again, the center of our civic universe because the special election in Georgia is going to determine ultimately the course of the Biden presidency and whether Joe Biden and Kamala Harris can deliver legislatively all the commitments that they've made," he added.

Obama spoke at the virtual rally the same day Vice President Mike Pence traveled to Georgia to campaign for Ossoff and Warnock's Republican opponents, Sens. David Perdue and Kelly Loeffler.

Trump is scheduled to hold a rally for both candidates in the state on Saturday -- his first since losing the election.