LSE Accounting and Finance without prior work experience

I'm currently in the second year of my Bsc (Italian non target) and i want to switch to a target for my postgrad. I was thinking of applying to the LSE Msc in Accounting and Finance (way cheaper than the Msc in Finance, but I'll decide this later in the process) for the fall 2021 intake. Will Lse still be that great of an opportunity if I won't be able to land an internship before the end of my Bsc? I've read that otherwise I'll struggle finding a job. I've got perfect grades, 4/4 gpa and a bunch of extracurriculars, but the Italian job market is fucked up, undegrad studies are pretty useless for internships, you'll have chance only if you come from Bocconi (the only real target here). The best that I can hope to get is a Big four audit role, but I'm not even that sure because I'll be on exchange during the 3rd year. Having said that, what do you think?