For the most part, Omegle uses CAPTCHAs to try to limit bot access to the site. Omegle has taken the stance that bot interactions are not in the best interest of the user experience, and the company tries to prevent such interactions. Bots also represent security and liability risks that the company is trying to avoid.
Omegle’s profit model is not publicly available information, so there is some guesswork involved in the answer. Omegle definitely sells ad space, as you can see advertisements when you engage with the platform. Beyond that, the company might be backed by private donors, or it might sell user data.
The answer is yes. Omegle can be used to find your IP address along with a large amount of information relating to you and anything you happen to say while using the service. Despite that, there are some limitations to what can be tracked, and it is very hard for someone to use Omegle to find your physical location.
Omegle does not have an up-to-date app that is designed for Android or iOS phones. In order to use it, you have to implement a workaround that takes advantage of the original Omegle web app. For this, you need to install a browser on the phone that is known to work, or you can try an alternative app.
A CAPTCHA usually shows up when you try to access a site multiple times in a short time span from the same IP address. CAPTCHAs cannot be removed permanently. But they can be temporarily removed by restarting the router, clearing cookies and cache, a virus scan, using VPN, using a proxy, and using another device.