Using the **'getTransactions' **method would be a recommended approach for checking if a specific message was received by a particular address.
The TON JS Examples repository on Github offers helpful resources, including a JavaScript code snippet that can be used to retrieve a list of transactions for a specific address.
The code example can be found at
https://github.com/toncenter/examples
https://gist.github.com/slavafomin/1bcb401b5dc336bb4f9a2005b1660cbd.