I am interested in how an NT would approach this problem.
Imagine yourself in the following situation.
You are relatively new at your workplace and the policy of the workplace is that you formally work in one department, but the head of your sector politely orders you to help out in other services whenever they think that it will help other services to get their current task done faster and more efficiently.
The senior coworkers from other services in your sector are aware of this policy and they try to take advantage of it by not doing their work and procrastinating with urgent tasks until the last minute, and then they ask the head of the sector to send you to "help them out", which the head of the sector does every time, as they just want the job done on time.
When you arrive to help out, you get a shitload of other people's work that they were supposed to do but didn't, and you are expected to do that shitload of work and finish it in 1-2 days max, while their whole service had at least 1 week to do it, and they didn't .
Note: You are NOT in a position to complain to head of your sector about this, since many of the coworkers from another services have political connections and you don't. The head of your sector also doesn't have connections and they let those of their subordinates who have connections get away with everything, because they are protected by "important" and influential people.
What would you do if you frequently found yourself in such situations at work? How would you solve this problem?
Note: This thread is not about seeking personal advice, please consider it a theoretical problem.
I am interested in how the NT mindset would approach this kind of problem.