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SumKindaMunster It would not be "hilarious". It is a very serious matter.
The problems he is faced with is two people having been disloyal to the country in their official roles - one a trade envoy, the other an ambassador, both naive enough to be drawn into Epstein's political-influence /money-trading circles - but we do need know why Sir Starmer seems to have been so taken in by Peter Mandelson's lies.
It does seem he was "guided" by an "advisor" he has now booted out of office, and a so-called "director of communications" who has now resigned; but what other damage has Mandelson done?
If the Prime Minister were to step down the Parliamentary Labour Party would have to find a replacement who would have then to clear up the mess.
As with so many cases where people go wrong as managers (not "have done wrong" in a legal sense) there are choruses of "Resign!" but that is cheap and helps no-one. It is better the individual stays and sorts it out, with help as necessary. Not leave it for others, whose selection procedure also adds a time-wasting interregnum.
(Why do Prime Ministers, and presumably Presidents, think it necessary to appoint "Directors of Communications"? What do these hangers-on actually do? Mandelson was Tony Blair's D.o.C..)