You can definitely grow mushrooms in a grow tent, the only thing with mushrooms is that you need a very high RH 100% and your temps have to be above the 80 to 85 to get the best result, no need for any lights per say but a small led strip to give them a direct to grow won't hurt, growing mushrooms is simple if you have the proper sterile techniques, cleanliness is a must, contamination is always the enemy and usually comes from the individual...There is many great videos on YouTube to check out which will give you a solid base
This is by far the best videos to start with this guy is a mycologist and definitely lays out the best parameters for sterile techniques
youtube.com/playlist
Fresh cap mushrooms is another great channel
PhillyGoldenTeacher is another wonderful resource for mushroom growing
There are many more but these are some of the top channels