There seem to be opposing ideas on how we should deal with converts and Gentiles.
My understanding - Gentiles are allowed to be present at synagogue services. Potential converts are supposed to be discouraged from converting.
If someone told you that he was considering converting and he wanted to attend a synagogue service with you so that he can get a sense of what would be part of his Jewish life when he converted should you discourage him from attending? Does it make any difference if you specifically ask him to join you or whether you should coax him away if it his own idea to attend services?
Does it matter if he is first considering converting, or has already decided this is what he wants to do, and wants to attend services as part of his conversion "knowledge"?