The correct approach involves adding

To execute a test method that makes a web service callout, you need to mock the callout. This is done using `Test.setMock`. Additionally, `Test.startTest()` and `Test.stopTest()` are used to separate the test method's setup steps from its execution. Therefore, the optimal way to fix the test method is to add `Test.startTest()` and `Test.setMock` before `CalloutUtil.sendAccountUpdate`, and `Test.stopTest()` after.
To correct ViewState errors in a Visualforce page, the developer should ensure that properties used in the page's controller are marked as Transient when they are not essential for maintaining the state across requests. Marking properties as Transient helps to reduce the size of the ViewState, which in turn helps to avoid hitting ViewState size limits. This directly addresses the issue without affecting critical functionalities or access permissions.
To ensure that the information displays correctly in a single row on desktops and tablets, each layout item should take up one-third of the available width. Given that the layout items are originally set to a size of '12' (full width) on mobile devices, changing the mediumDeviceSize to '4' will divide the total width (12) into three equal parts (since 12/3 = 4), thus displaying the items in a single row on medium and larger devices.
An after update trigger is the correct approach in this scenario. The trigger should fire after the Case record has been updated to ensure the status is 'Could not fix'. By using an after update trigger, you can access the finalized Case data and create the Engineering Review custom object record with the necessary information from the Case, the Contact, and any associated Products. This ensures that the data being used to populate the Engineering Review record is accurate and reflects the current state of the Case.