AlthoughMeghan MarkleandPrince Harry’s two children may beentitled to royal titlesafter King Charles became monarch under a 1917 rule, no name changes have been announced forArchie HarrisonandLilibet Diana.

Behind the scenes, there have been arguments over titles for Archie, 3, and Lilibet, 1.

Prince Harry and Meghan Markle.BEN STANSALL/POOL/AFP via Getty Images

Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex leave after a service for the reception of Queen Elizabeth II’s coffin

As monarch, King Charles III could change that rule, but it’s unlikely he’ll choose to do so.

A spokesperson said that nothing would be decided or said about the issue while the family was in mourning, a period that lasts one week past the funeral.

For more on the Royals, listen below to our daily podcast PEOPLE Every Day.

A source previously told PEOPLE: “Archie will almost certainly become a prince one day. Charles isn’t going to disavow his grandson, so it’s hugely unlikely that he’ll change the rules to stop it happening. The Charles also isn’t going to say that Archie can’t use the title any time soon.”

King Charles; Meghan Markle and Prince Harry.Chris Jackson/Getty; Taylor Hill/WireImage

Meghan, Duchess of Sussex, and Prince Harry, Duke of Sussex,

WhenPrince Harry, 38, and Meghan, 41, were married in May 2018, the Queen gave them the titles of Duke and Duchess of Sussex. Archie was entitled to the “courtesy title” of Earl of Dumbarton upon his birth. However, the couple announced that they had not given him a courtesy title and he would be known as Archie Mountbatten-Windsor. Down the line, Archie could be given the secondary Sussex title, before inheriting the dukedom.

The couple relocated to California after stepping back as senior members of the royal family in 2020.

Queen Elizabeth Obit Cover

During Meghan andPrince Harry’s 2021 interview withOprah Winfrey, the Duchess of Sussex revealed there was a conversation about titles ahead of Archie’s birth.

“They were saying they didn’t want him to be a prince or princess, which would be different from protocol, and that he wasn’t going to receive security,” Meghan said. “This went on for the last few months of our pregnancy where I was going, hold on for a second.”

Meghan went on to say she would have accepted a title for Archie if it “meant he was going to be safe.”

“And it’s not our decision to make,” she said. “Even though I have a lot of clarity of what comes with the titles good and bad…that is their birthright to then make a choice about.”

Can’t get enough ofPEOPLE’s Royals coverage?Sign up for our free Royals newsletterto get the latest updates onKate Middleton,Meghan Markleand more!

In his first speech as monarch, King Charles mentioned his younger son and daughter-in-law.

“I want also toexpress my love for Harry and Meghanas they continue to build their lives overseas,” he said.

source: people.com