Broom

The player who needed 35,000 named the broom as the new swatting weapon. Against a mosquito showing 2,000 health, the broom's damage was judged sufficient and the player's health was not. Another session's next unnamed tier was 50,000, so 35,000 is that broom purchase, not a promise that every server's next rung costs 35,000.

Weapon shop, cash, at the stated 35,000 in that session.

Pair it with a seat upgrade before you take it to a boss that hits fast. It is the early boss-gate weapon in the route, not a Housewife answer.