Random Game Generator will not display the amount of visits

You could send a request to a public proxy, since Roblox will not allow you to directly send requests to their API from a script.
An example can be: https://games.roproxy.com/v1/games?universeIds=*your EXPERIENCE id goes here* (you can get it by printing game.GameId)

To send a request, you must use HttpService. You also need HTTP Requests enabled in the game settings.

For example:

local HttpService = game:GetService("HttpService")
local request = HttpService:GetAsync(HttpService:UrlEncode("https://games.roproxy.com/v1/games?universeIds=4858199299")) -- 4858199299 is my experience id

print(request)

Although, you should read this before doing so: PSA: Stop using Roblox proxies! (roproxy, rprxy.xyz, rprxy)