No, it is not ok.
Mixing an alkaline battery with a carbon zinc battery will not improve device performance, In fact, it will reduce performance and may even damage your device or cause battery leakage or rupture. As well. it is not recommended to mix the two.We recommend using the same type of batteries within a device.
Alkaline batteries and carbon zinc batteries have the same chemical reaction principle, mainly the reaction between zinc and manganese dioxide, but the internal structure of the battery is different. For high-power electrical appliances, it is best to use alkaline batteries. For low-power appliances, both alkaline and carbon properties are acceptable. Since the internal structure of alkaline batteries and carbon zinc batteries is different, it is not recommended to mix the two types. Please click the link below to see the difference between alkaline batteries and carbon batteries
In addition to not recommending mixing alkaline and carbon batteries, it is also not recommended to mix old and new batteries, because the voltage of the new battery is high, and the voltage of the old battery is low. This is similar to the barrel effect, and the efficiency depends on the height of the lowest board, so the mixed use of new and old batteries cannot give full play to the efficiency of the battery. Mixed use of the two may sometimes cause the old battery to leak. Details please refer to the below link.