The royal family has no involvement with the UK government.
The queen is officially head of state, but in reality does what she is told by the current party in power (queen's speech is written for her for example).
The fact the Queen is exceedingly good at doing exactly what a Head of State should endeavor to do (not use power) does not mean they never will. Something to keep in mind. Especially with an informal Constitution.
Not that a formal one makes much difference when the people who interpret it start doing mental gymnastics.
She uses power, we just don’t get to see it. She gets final review over any law that affects her estates before it’s submitted to parliment, which includes anything related to tax and employment law.
The whole “the queen is just this beloved and powerless figurehead” is propaganda.
https://www.theguardian.com/commentisfree/2021/feb/08/queen-...