No, this comes from a gluten grain
Beer brewed from barley. Note that "gluten-removed" beer is not the same as gluten-free: US law requires such products to carry the statement that gluten content cannot be verified, and both the Gluten Intolerance Group and Beyond Celiac advise against them. Beers brewed from sorghum, rice, or millet and labeled gluten-free are fine.
TTB Ruling 2014-2 governs the "processed to remove gluten" statement.
Barley, malted and brewed. Malting is the step that makes beer beer, and barley is a gluten grain, so conventional beer is not a borderline case — it is one of the most reliably glutenous things anybody eats or drinks.
Because of the three-way split on the shelf, which is genuinely confusing and is not an accident of marketing. "Gluten-free beer" and "gluten-removed beer" sit side by side, look identical, cost about the same, and mean completely different things.
Read which of the two phrases is on the can, because they are one word apart and the difference is the whole answer. "Gluten-free" means brewed without gluten. "Gluten-removed", "crafted to remove gluten" or "processed to remove gluten" means barley beer with an enzyme in it and a measurement nobody can make. The fragments the enzyme leaves behind may still be immunogenic — that is precisely the uncertainty the label is disclosing.
Beer is a gluten derivative by default, and CiCi does not treat "gluten-removed" wording as clearing it. That is a deliberate disagreement with how those products are marketed, and it follows the position of both US celiac organisations rather than the position of the brewer.
Every one of these is the same ingredient. The number of names is a large part of why gluten slips past people who read every label.
Point CiCi at the barcode on the product you're holding and get this same reasoning in about two seconds, plus the carbs and the full nutrition panel. 360,000+ packaged foods are already read and waiting.
This answer comes from CiCi's ingredient lexicon — the same rules the scanner uses, not a separate article. Where reputable sources disagree, CiCi takes the conservative position and says so.