King Charles, Prince William and Kate step out in first public appearances since Prince Harry's memoir, Spare

Prince William has dodged questions about his brother's tell-all memoir, Spare, as the most senior working royals began what appeared to be a co-ordinated PR blitz of their own.

Prince Harry's father, brother and sister-in-law, who have borne the brunt of the Duke of Sussex's most damaging accusations in the book, appeared jovial as they all made their first public appearances since its release just days earlier.

Watch the video above.

In a sign of the hierarchy Harry often referred to in his book, King Charles went first out in public on Thursday morning in Aberdeenshire, Scotland, followed shortly after by the Prince and Princess of Wales in Merseyside, England.

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Prince William and Kate were cheered by crowds as they arrived at the new Royal Liverpool University Hospital but ignored a question from journalists.

"(Are) you hurt by the comments in Harry's book, sir?" a male voice can be heard yelling at the royals in a video posted on Twitter.

READ MORE: The biggest bombshells and revelations from Prince Harry's memoir, Spare

In the clip, loud winds can also be heard roaring in the background, so it's possible they didn't hear the question, though they likely wouldn't have responded even if they had.

And example of this came later in the day when a journalist asked if the royal had a chance to read his "brother's book at all", which this time was definitely audible.

However, the Prince walked on and got into a waiting car.

The couple smiled and waved cheerily at gathered well-wishers, showing no signs of strain in the wake of Harry's book, which includes accusations of physical assault by his brother "Willy" and leaked text messages from Kate to Meghan.

One person Prince William reportedly did speak to was 81-year-old Sylvia, who was there for a hospital appointment, according to Liverpool Echo.

"Keep going Will, Scousers love you," she told him, to which he replied: "I will do."

Scouse, is the term given to those who live in Liverpool and the surrounding Merseyside county.

The Waleses were there to check out the hospital's new facilities and meet with staff who have been working at the hospital during the busy northern hemisphere winter.

People lined the balcony overlooking the atrium to welcome the royal couple.

Their meet and greet also included support staff and mental health first aiders, to thank them for their service.

It's their first visit since the new hospital opened, but Prince William previously met some of the critical care team during a 2020 video call.

The royal, today, getting to meet the staff who were crucial during the COVID-19 pandemic for the first time in person.

As the Prince and Princess of Wales left the hospital, they were mobbed by staff.

They happily posed for a load of photos and selfies before making their way to their next engagement.

William and Kate headed to Birkenhead, where they visited mental health organisation One Door Charity.

They met with young adults taking part in a cultural and creative-inspired programs, a key interest to the couple whose work is focused on youth and mental health.

The Waleses visited the charity's flagship Bloom Building to meet with volunteers, mentors and staff and learn about the support the charity offers to young people.

The Prince and Princess of Wales were the epitome of couple's dressing in matching navy and green ensembles, perhaps a nod to the National Health Service, whose colour is blue.

Prince William wore a navy suit over a deep green knit and white shirt combo.

While the Princess of Wales was wore a ribbed midi navy dress, cinched in at the waist with a croc leather belt and matching navy suede pointed-toe pumps.

The royal sported a tartan print coat of the same length as her dress over the top but left the outerwear unbuttoned.

Kate also carried a forest green coloured leather handbag, in a similar style to the one the late Queen Elizabeth used.

For his Scottish outing, King Charles donned a kilt and a tweed jacket at Aboyne and Mid Deeside Community Shed.

READ MORE: Royal family has 'no trust' in Prince Harry after intimate details shared in his book Spare

His Majesty was welcomed to the community centre by bagpipes playing Scotland the Brave, before touring the new facilities, which helps local hardship support groups, and meeting with representatives from 10 charities and voluntary groups.

The monarch was reportedly "very impressed" as he unveiled the plaque, among the first to have his name on it.

King Charles also signed the guest book while visiting the shed and appeared to make a joke.

The monarch, 74, looked jovial and was seen laughing in his first official public appearance of 2023.

It also marked his first outing since his son's tell-all memoir, Spare, was officially released earlier this week.

The King was seen on Sunday going to church at Sandringham after the first leaks of the book had been published.

Spare, which has gone on to become the fastest-selling non-fiction title in the UK, provides the Duke of Sussex's version of events in the rift that's torn the British royal family apart over the last few years.

The autobiography – which was ghostwritten by Pulitzer Prize-winning novelist J. R. Moehringer – sold more than 1.4 million copies in the US, UK and Canada on its publication day, according to publishers.

The sales make it the largest first-day sales total for any non-fiction book ever, they claimed.