Your agency's identity is spread across three layers, and an AI engine may draw from any of them. The first is your owned site: the About page, footer, contact block and, critically, your Organization structured data. Google's own documentation notes that properties like sameAs are used behind the scenes to disambiguate your organization from others, so the machine-readable facts on your site are the anchor the rest hang from. If your schema disagrees with your visible copy, you have contradicted yourself before anyone else gets involved.
The second layer is your third-party profiles: independent directories, review marketplaces such as Clutch and DesignRush, professional networks, and any industry list you appear in. These are the highest-volume source of what engines read about you, and they drift the fastest — an old address, a former company name, a market you have dropped, a specialty you have added but never updated. A criteria-based directory entry records only publicly evidenced facts, but it can still lag reality if you never confirm it; that is exactly what confirming or correcting a directory listing fixes.
The third layer is the knowledge-graph layer: Wikidata, Wikipedia where it applies, and the entity records engines build internally by reconciling everything they have read. You do not edit this layer directly, but you shape it. It reflects the consensus of the first two layers, so it becomes accurate only when your site and your profiles already agree. Getting all three to tell one story is the whole job; the checklist below is how you run it.