Should I continue working for the my startup for equity after they can no longer afford to pay? (I will not promote)

SWE at startup. Recently the company I’m working for has run out of money so they can no longer afford to pay me for potentially a few months up to who knows how long. The pay was never amazing but at least it was an income. Now they’re offering me to stay based on equity. I’ve told them my main priority will always be finding an income but is it worth me working here for just equity? The other thought is if I continue here technically I would build up experience as well so is that worthwhile too?