I’d be pretty sure someone’s insurance, your’s or the body corporate’s, would be covering your costs should your place not be habitable? Surely.
As to what makes a reasonable timeframe it might help to consider the recommended response times for a Qld apartment mangers group. Basically: if it’s urgent or dangerous it’s done in a day, and if it’s something they agree to get on with (and not delay or revisit another time) it should be done within 6 weeks. That get’s things done in a timely way, keeps some urgency about it, and saves talking about it for way too long.