Does the +1 AC bonus from the Warforged racial trait Integrated Protection and the Forge Domain cleric’s Blessings of the Forge stack?

The Warforged race (from Eberron: Rising from the Last War, p. 36) has a racial feature called Integrated Protection, which among other things, grants the following:

  • You gain a +1 bonus to Armor Class

The Forge Domain for the cleric (from Xanathar’s Guide to Everything, p. 19) has a class feature called Blessings of the Forge, which grants the following:

At 1st level, you gain the ability to imbue magic into a weapon or armor. At the end of a long rest, you can touch one nonmagical object that is a suit of armor or a simple or martial weapon. Until the end of your next long rest or until you die, the object becomes a magic item, granting a +1 bonus to AC if it’s armor or …

Recently, a player wanted to make a Warforged Forge Domain cleric and wondered if these two features would stack (meaning, the racial +1 stacking with wearing magical armor enchanted via Blessings of the Forge), allowing effectively +2 to AC. Is there any reason this wouldn’t work?