The Animate Objects spell description reads:
An animated object is a construct with AC, hit points, attacks, Strength, and Dexterity determined by its size. Its Constitution is 10 and its Intelligence and Wisdom are 3, and its Charisma is 1. Its speed is 30 feet; if the object lacks legs or other appendages it can use for locomotion, it instead has a flying speed of 30 feet and can hover. If the object is securely attached to a surface or a larger object, such as a chain bolted to a wall, its speed is 0. It has blindsight with a radius of 30 feet and is blind beyond that distance. When the animated object drops to 0 hit points, it reverts to its original object form, and any remaining damage carries over to its original object form.
According to the description, it seems like objects animated by the Animate Object spell aren't immune to psychic or poison damage. This is in contrast to every other animated object in game, from animated armors to tiny servants created by the XGE spell. Are objects animated by the Animate Objects spell an exception to general rule? Are they susceptible to poison and psychic damage, as well as conditions like charmed or frightened?