What debt? There is no debt.
They're as wealthy as any team that's won everything, repeatedly for the last 20 years. With a wealthy owner thrown into the mix.
From the FT:
"Todd Boehly-led consortium looks to reshape soccer club after end of Roman Abramovich era. Chelsea's new owners are raising roughly UK£800 million (US$957 million) of debt as they bid to reshape the running of the English soccer giants"
If you can't understand this i don't really care, but Boehly owes money, and not for a bar tab.