Does Circle of the Forged increase the Wildshape AC by 2 or 3?

Question

The druid's Wild Shape feature in D&D 5e says:

You retain the benefit of any features from your class, race, or other source and can use them if the new form is physically capable of doing so. However, you can't use any of your special senses, such as darkvision, unless your new form also has that sense.

From the warforged's Integrated Protection racial trait:

You gain a +1 bonus to Armor Class

From Exploring Eberron's Circle of the Forged Skin of Steel feature:

Starting at 2nd level, while you are transformed by Wild Shape, you gain the following benefits: You gain a +2 bonus to Armor Class...

Warforged druids may not normally keep Integrated Protection when wildshaped because the shape they transform into isn't built like a warforged, but Circle of the Forged clearly lets them keep their wood and metal composition:

While in beast form, your body is made from the same materials as a warforged; your muscles are rootlike tendrils protected by armored plates. It’s obvious to an observer that you are not a normal animal.

So does that mean if you're a Circle of the Forged warforged druid, you get a +3 AC bonus to whatever beast's natural armor you turn into? E.g. Giant spider = 14 + 1 + 2 = 17?

This seems like a big difference from normal druids, even moon druids, so I wanted to double check.

Answer 1

By RAW, You would get the full +3 AC. This is probably not intended.

The druids Wild Shape states:

You retain the benefit of any features from your class, race, or other source and can use them if the new form is physically capable of doing so.

The warforged Integrated Protection says:

Integrated Protection. Your body has built-in defensive layers, which can be enhanced with armor.

• You gain a +1 bonus to Armor Class.
• [...]

For the other druid subclasses this would not work as answered here, but this subclass specifies "your body is made from the same materials as a warforged", and so the +1 AC would carry over to the Wild Shape. However, this may not be the intention of the feature, as having +3 AC can be pretty dramatically game changing. As well, the other parts of the Circle of the Forged match features from the Warforged’s stats:

[...]

• You have advantage on saving throws against being poisoned, and you have resistance to poison damage.
• You don’t need to eat, drink, or breathe.
• You are immune to disease.
• You don’t need to sleep, and magic can’t put you to sleep.

This seems to be written as if the other racial features would not carry over into the Wild Shape form, and as such I think it is safe to assume they are not intended to stack.

Answer 2

You get +2 AC

The Druid Wildshape feature states:

You retain the benefit of any features from your class, race, or other source and can use them if the new form is physically capable of doing so. However, you can’t use any of your special senses, such as darkvision, unless your new form also has that sense.

While the Warforged Integrated Protection grants:

Your body has built-in defensive layers, which can be enhanced with armor:

• You gain a +1 bonus to Armor Class.

Being made of metal does not mean you have integrated protection
The Integrated Protection feature is clear that it is a quality of that particular body. It doesn't matter whether a new body is also made of metal, it is still not constructed in the same way as the Warforged's original body. A wildshaped metal/wood wolf would not have the "built-in defensive layers" that grant Integrated Protection. This is different from other features that rely on skill such as a Goblin's Nimble Escape, or on magic such as an Aasimar's healing hands.