Vice President Kamala Harris said on Saturday that she would be open to debating former President Donald Trump for a second time in October, ahead of the November U.S. presidential election.

Jen O’Malley Dillon, chair of Harris and vice presidential nominee Tim Walz’s campaign, said in a statement that Harris has accepted CNN’s invitation to a debate on Oct. 23. That would be less than two weeks before the election.

“I will gladly accept a second presidential debate on October 23. I hope @realDonaldTrump will join me,” Harris wrote in an X post.

It isn’t the first time the Harris camp has proposed another match. Shortly after Harris and Trump held a debate hosted by ABC News earlier this month, O’Malley Dillon said Harris was ready for round two against him. But as Harris was raising millions of dollars following the campaign, Trump declined to face her again.

In a post on the Trump Media & Technology Group’s social network, Truth Social, the Republican presidential nominee said there would be “no third debate.”

On Saturday, a Trump campaign spokesperson referred CNBC back to Trump’s Truth Social post about there being no third debate.

“She’s done one debate,” Trump said at a rally in Wilmington, North Carolina, on Saturday. “I’ve done two. It’s too late to do another. I’d love to, in many ways, but it’s too late. The voting is cast.”

The first 2024 debate for Trump was against the current president, Joe Biden. CNN ran the event in June. But Biden struggled on the debate stage. Democratic donors expressed concerns about Biden’s prospects, and Democratic members of Congress called on Biden to end his election bid. In August, Harris accepted the presidential nomination at the Democratic National Convention.

“Donald Trump should have no problem agreeing to this debate,” O’Malley Dillon wrote in her statement. “It is the same format and setup as the CNN debate he attended and said he won in June, when he praised CNN’s moderators, rules and ratings.”

— CNBC’s Rebecca Picciotto contributed to this report.

WATCH: Harris won the debate but didn’t move the needle on voter decisions, says Pimco’s Libby Cantrill

It was quite a week for Intel.

The chipmaker, which has lost over half its value this year and last month had its worst day on the market in 50 years after a disappointing earnings report, started the week on Monday by announcing that it’s separating its manufacturing division from the core business of designing and selling computer processors.

And late Friday, CNBC confirmed that Qualcomm has recently approached Intel about a takeover in what would be one of the biggest tech deals ever. It’s not clear if Intel has engaged in conversations with Qualcomm, and representatives from both companies declined to comment. The Wall Street Journal was first to report on the matter.

The stock rose 11% for the week, its best performance since November.

The rally provides little relief to CEO Pat Gelsinger, who has had a tough run since taking the helm in 2021. The 56-year-old company lost its long-held title of world’s biggest chipmaker and has gotten trounced in artificial intelligence chips by Nvidia, which is now valued at almost $3 trillion, or more than 30 times Intel’s market cap of just over $90 billion. Intel said in August that it’s cutting 15,000 jobs, or more than 15% of its workforce.

But Gelsinger is still calling the shots and, for now, he says Intel is pushing forward as an independent company with no plans to spin off the foundry. In a memo to employees on Monday, he said the two halves are “better together,” though the company is setting up a separate internal unit for the foundry, with its own board of directors and governance structure and the potential to raise outside capital.

For the company that put the silicon in Silicon Valley, the road to revival isn’t getting any smoother. By forging ahead as one company, Intel has to two clear two gigantic hurdles at once: Spend more than $100 billion through 2029 to build chip factories in four different states, while simultaneously gaining a foothold in the AI boom that’s defining the future of technology.

Intel expects to spend roughly $25 billion this year and $21.5 billion next year on its foundries in hopes that becoming a domestic manufacturer will convince U.S. chipmakers to onshore their production rather than relying on Taiwan Semiconductor Manufacturing Company (TSMC) and Samsung.

That prospect would be more palatable to Wall Street if Intel’s core business was at the top of its game. But while Intel still makes the majority of processors at the heart of PCs, laptops, and servers, it’s losing market share to Advanced Micro Devices and reporting revenue declines that threaten its cash flow.

Monday’s announcement on the new governance structure for the foundry business served as an opening salvo meant to convince investor that serious changes are underway as the company prepares to launch its manufacturing process, called 18A, next year. Intel said it has seven products in development and that it landed a giant customer, announcing that Amazon would use its foundry to produce a networking chip.

“It was very important to say we’re moving to the next phase of this foundry journey,” Gelsinger told CNBC’s Jon Fortt in an interview. “As we move to this next phase, it’s much more about building efficiency into that and making sure that we have good shareholder return for those significant investments.”

Still, Gelsinger’s foundry bet will take years to pay off. Intel said in the memo that it didn’t expect meaningful sales from external customers until 2027. And the company will also pause its fabrication efforts in Poland and Germany “by approximately two years based on anticipated market demand,” while pulling back on its plans for its Malaysian factory. 

TSMC is the giant in the chip fab world, manufacturing for companies including Nvidia, Apple and Qualcomm. Its technology allows fabless companies — those that outsource manufacturing — to make more powerful and efficient chips than what’s currently possible at volume inside Intel’s factories. Even Intel uses TSMC for some of its high-end PC processors.

Intel hasn’t announced a significant traditional American semiconductor customer for its foundry, but Gelsinger said to stay tuned.

“Some customers are reluctant to give their names because of the competitive dynamics,” Gelsinger told Fortt. “But we’ve seen a large uptick in the amount of customer pipeline activity we have underway.”

Prior to the Amazon announcement, Microsoft said earlier this year it would use Intel Foundry to produce custom chips for its cloud services, an agreement that could be worth $15 billion to Intel. Microsoft CEO Satya Nadella said in February that it would use Intel to produce a chip, but didn’t provide details. Intel has also signed up MediaTek, which primarily makes lower-end chips for mobile phones.

Intel said this week that it received $3 billion to build chips for the military and intelligence agencies in a specialized facility called a “secure enclave.” The program is classified, so Intel didn’t share specifics. Gelsinger also recently met with Commerce Secretary Gina Raimondo, who is loudly promoting Intel’s future role in chip production.

Earlier this year, Intel was awarded up to $8.5 billion in CHIPS Act funding from the Biden administration and could receive an additional $11 billion in loans from the legislation, which was passed in 2022. None of the funds have been distributed yet. 

“At the end of the day, I think what policymakers want is for there to be a thriving American semiconductor industry in America,” said Anthony Rapa, a partner at law firm Blank Rome who focuses on international trade.

For now, Intel’s biggest foundry customer is itself. The company started reporting the division’s finances this year. For the latest quarter, which ended in June, it had an operating loss of $2.8 billion on revenue of $4.3 billion. Only $77 million in revenue came from external customers.

Intel has a goal of $15 billion in external foundry revenue by 2030.

While this week’s announcement was viewed by some analysts as the first step to a sale or spinoff, Gelsinger said that it was partially intended to help win new customers that may be concerned about their intellectual property leaking out of the foundry and into Intel’s other business.

“Intel believes that this will provide external foundry customers/suppliers with clearer separation,” JPMorgan Chase analysts, who have the equivalent of a sell rating on the stock, wrote in a report. “We believe this could ultimately lead to a spin out of the business over the next few years.”

No matter what happens on that side of the house, Intel has to find a fix for its main business of Core PC chips and Xeon server chips.

Intel’s client computing group — the PC chip division — reported about a 25% drop in revenue from its peak in 2020 to last year. The data center division is down 40% over that stretch. Server chip volume decreased 37% in 2023, while the cost to produce a server product rose.

Intel has added AI bits to its processors as part of a push for new PC sales. But it still lacks a strong AI chip competitor to Nvidia’s GPUs, which are dominating the data center market. The Futurum Group’s Daniel Newman estimates that Intel’s Gaudi 3 AI accelerator only contributed about $500 million to the company’s sales over the last year, compared with Nvidia’s $47.5 billion in data center sales in its latest fiscal year.

Newman is asking the same question as many Intel investors about where the company goes from here.

“If you pull these two things apart, you go, ‘Well, what are they best at anymore? Do they have the best process? Do they have the best design?'” he said. “I think part of what made them strong was that they did it all.”

— CNBC’s Rohan Goswami contributed to this report

WATCH: CNBC’s full interview with Intel CEO Pat Gelsinger