The sources provided do not directly address the question of whether there are any side effects of Advil when taken with dairy. However, we can still provide some relevant information based on these sources.

Firstly, the drug patent information [1] for Advil (ibuprofen) indicates that the medication can be taken with or without food. It does not specify any interactions with dairy products.

Secondly, the product information for Children's Advil Suspension Grape Flavor [2] does not mention any interactions with dairy products either. However, it does caution against taking the medication with other products containing ibuprofen or other nonsteroidal anti-inflammatory drugs (NSAIDs).

Finally, a study published in the Journal of Clinical and Diagnostic Research [3] examined the effects of ibuprofen on the gastrointestinal tract. The study found that ibuprofen can cause gastrointestinal side effects such as stomach ulcers and bleeding, particularly when taken in high doses or for long periods of time. However, the study did not specifically investigate any interactions between ibuprofen and dairy products.

In summary, based on the sources provided, there is no direct evidence to suggest that there are any side effects of taking Advil with dairy products. However, it is important to be aware of the potential gastrointestinal side effects of ibuprofen in general, and to follow the recommended dosage and usage guidelines. If you have any concerns or questions about taking Advil with dairy or any other medications, it is always best to consult with a healthcare professional.

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/ADVIL
[2] https://www.advil.com/our-products/childrens-advil/childrens-advil-suspension-grape-flavor/?bvstate=pg:2/ct:r
[3] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4983537/