The Egmont Group is a global network of Financial Intelligence Units (FIUs) that aims to enhance the capabilities and cooperation of its members in combating money laundering, terrorist financing, and other financial crimes. The Egmont Group supports its FIU members by helping them to expand and systematize the exchange of financial intelligence and information, improve expertise and capabilities of personnel, and enable secure communication with one another12. The Egmont Group does not issue due diligence models for financial institutions, as this is the responsibility of national regulators and standard-setting bodies. The Egmont Group does not issue strategic products for law enforcement agencies and FIUs, as this is the role of other international organizations such as the Financial Action Task Force (FATF) and the United Nations Office on Drugs and Crime (UNODC). The Egmont Group does not expand the ability of FIUs to enforce laws and exchange information globally, as this depends on the legal and operational frameworks of each FIU and the bilateral or multilateral agreements they have with other FIUs.
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Egmont Group
Working Groups - Egmont Group
Overview of the Egmont Group of Financial Intelligence Units
The Egmont Group of Financial Intelligence Units | FinCEN.gov
Egmont Group - Qatar Financial Information Unit

The Certified Anti-Money Laundering Specialist (the 6th edition) Study Guide states that financial institutions should address all requests from law enforcement agencies completely and in a timely manner (Page 83).
Disregarding requests when there is a justifiable reason for doing so is not recommended, as this could impede the investigation. Sharing information about the investigation with analysts is not recommended, as this could compromise the investigation. Delaying responses by informing senior management of requests is also not recommended, as this could result in a delay in the investigation.

Under USA PATRIOT Act Section 311, the U.S. government can impose special measures against a foreign jurisdiction, institution, or transaction that is of primary money laundering concern1. These measures can range from requiring additional recordkeeping and reporting to prohibiting or restricting the opening or maintaining of correspondent or payable-through accounts for the designated entity2. A payable-through account is a type of correspondent account that allows customers of a foreign bank to access the U.S. financial system by writing checks or making wire transfers from the foreign bank's account at a U.S. bank3.
In this case, the U.S. government has enacted special measures against a designated entity that has a payable- through account with an EU bank, which in turn has a correspondent banking relationship with a U.S. bank.
One of the possible actions that the U.S. bank might be required to take regarding the EU bank's services for the designated entity is to obtain additional information about customers permitted to use this account. This is to ensure that the U.S. bank can identify and monitor the transactions and activities of the designated entity and its customers, and to prevent any money laundering or terrorist financing risks4.
The other actions listed are not likely to be required by the U.S. government under Section 311. Ensuring the designated entity's confidential information is not shared with other entities is not a special measure, but a general obligation of any financial institution under privacy laws. Verifying that the EU bank serves the designated entity is not a relevant action, since the U.S. government has already designated the entity as a primary money laundering concern. Performing enhanced due diligence on the EU bank is not a specific action related to the payable-through account, but a broader requirement for any correspondent account under Section 312 of the USA PATRIOT Act5.
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1: USA PATRIOT Act | FinCEN.gov1 2: 311 Actions | U.S. Department of the Treasury2 3: Overview of Correspondent Banking and "De Risking" Issues - CRS Reports3 4: U.S. TREASURY DEPARTMENT OFFICE OF PUBLIC AFFAIRS4 5: Fact Sheet: Overview of Section 311 of the USA PATRIOT Act5

According to the web sources I found, FATF Recommendation 18 requires financial institutions to implement group-wide programmes against money laundering and terrorist financing that include policies and procedures for sharing information within the group for AML/CFT purposes12. These programmes should also include compliance management arrangements, screening procedures for hiring employees, an independent audit function and ongoing employee training1.

The Egmont Group of Financial Intelligence Units (FIUs) is a global network of FIUs that facilitates and promotes the exchange of information, knowledge, and cooperation among its members to combat money laundering, terrorist financing, and other financial crimes1. The Egmont Group has developed operational guidance for international cooperation and information exchange among FIUs, which includes channels, procedures, and forms for making and receiving requests2. Filing a request under Egmont guidelines is therefore a common and effective way for a regulatory body to obtain international assistance in a money laundering inquiry, as it ensures that the request is made throughthe appropriate and secure channel, and that it meets the standards and expectations of the requested FIU.
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1: Home - Egmont Group
2: EGMONT GROUP OF FINANCIAL INTELLIGENCE UNITS OPERATIONAL GUIDANCE FOR ...