It depends on the details of the contract. Sometimes a humble sentence in the contract can often extend a lot. Generally speaking, however, if the contract issued by the other party is a standard contract, then the ambiguous terms in the contract will be interpreted in your favor from the legal point of view, that is to say,

if the contract is printed by the other party, which is not negotiated by you, and it is not clearly stated in the contract that the rent does not include the management fee, and "the management fee is calculated separately", you can consider that the rent already includes the management fee, and you can go to court.

the air-conditioning cost in China is the shared cost of commercial/commercial buildings, which is generally not required to be specified in the corresponding contract. It is regulated, that is, it is shared by the entity in which it is staying. Without special indication, there are only two situations: sharing by households and sharing by area, but it must be shared. The same is true for electricity, water, cleaning and maintenance of labor in public areas.