Hello again, interfacing with an existing building system, that is either in cooling mode, or heating mode..... but not able to switch between the two easily, limits your options and sticks you with the situation you have described unfortunately.
Toying with your thermostat control will not over come these built in limitations....even a brand new thermostat will not over come these basic built in limitations.
There are also the limits the building owners set on heating, they do this to save tens of thousands of dollars per year...
In many buildings the main boiler in the basement is set to go OFF when the temperature outside is above 67 or 70F.... so that no matter what you do with your thermostat there will be no heat. That is 100% a deliberate building owner strategy (and recommended by US government energy conservation energies)
because if the building is heated to 72F on a cool morning, then the building warms up in the afternoon, extra heat has to run in the morning (costing thousands of dollars in a large building), then because the building was already warmed to 72F, cooling must come on sooner that it normally would if the building had not be pre heated. (costing more thousands of dollars).
Let me know if my explanation has made any sense to you.
Solutions: Buy one or two $35 portable electric space heaters and use those to warm up the rooms you spend a lot of time in.
Regarding the thermostat,
Honeywell makes a wide range of models that look the same but program *differently... your best bet if you cannot get me the the full 10 digit model number is ***** ask the building super come and reprogram your thermostat he has done this many times and should not mind doing it for you (if he is a nice guy)
Try these programming instructions on your thermostat, there are also instructions on how to remove the thermostat from its sub base.
We can go from there.
Your building superintendent will be in