The crown as a private entity gives more money to the state than it receives
https://www.youtube.com/watch?v=bhyYgnhhKFw
I do not have primary sources but according to GPC Grey in the video the royal family receives £45 millions and gives ~£200 millions
In the same sense that the queen is the richest person in the UK it is also true that almost the entirety of her possession are handled (and profited) by the state.
Quoting Wikipedia: https://en.wikipedia.org/wiki/George_III
> On his accession, the Crown lands produced relatively little income; most revenue was generated through taxes and excise duties. George surrendered the Crown Estate to Parliamentary control in return for a civil list annuity for the support of his household and the expenses of civil government
I have no opinion on the british royal family and honestly I don't see them keeping the title for more than two other generations, but it does not look like they are (currently) bleeding the country