The article Zitron links says Cursor has single-digit millions of cash burn with about $1B in the bank (as of August). Assuming that is true, they are losing money but have a long runway.
That article says "Anysphere runs pretty lean with around 150 employees and has a single digit monthly cash burn, a source tells me." That would be total cash burn, i.e., net losses. If their AWS bill is bigger than that it's because they are making up for part of it with revenue.
https://www.newcomer.co/p/cursors-popularity-has-come-at-a