I assume in Saudia Arabia you have air-conditioning so I would think your tablets will be fine. However, I have seen the excerpt and hope it doesn't confuse you even more
Armour will last a full year (at least) at room temperature. The manufacturer's recommendations say to NOT frig. it, but that is probably because they tested for storage at room temp. and they are required by law to recommend the same conditions that it was tested under. Like film and batteries, frig. storage will extend lifetime
PROVIDED that exposure to humidity and condensation is AVOIDED. Armour should store even longer under freezing, but the physical condition of the tablets may be damaged since they are not totally dry to start. HOWEVER most modern frig/freezers do this anti-frosting thing, where the freezer compartment is periodically HEATED before being returned to freezing temperatures. The presumption is that the cycling is fast, so frozen foods will stay frozen through the cycles (probably true in the bulk, but the surfaces of those foods are prone to more and more rapid freezer burn).
HOWEVER small bottles of medication will NOT stay frozen through such cycling and will be exposed, briefly, to higher temperatures.
SO -- cool dry romm temp is adequate for a year. Dry refrigerator storage, while not recommended by the manufacturer, will extend potentshelf life. FREEZING is problematic unless you KNOW you have a NON "Frost Free" freezer.
If you want to know the technicalities of this, check out Arrhenius (?sp) and energy barriers to chemical reactions. The gradual potency decay of thyroid meds in storage is a temperature activated reaction with a lower than normal energy barrier. Lowering the temperature reduces the amount of random energy to "push" the reaction. BUT temp appears in an exponent, so small temp changes can have large effects. Look for "Reaction kinetics" in "physical chemistry".
(I'm just an electrical engineer, probably didn't even spell "Arrhenius" properly.)