As effective third parties, proxy servers can enable all of that by hiding your IP address. Even your ISP can’t know your IP address. Beyond that, proxy server providers don’t offer much protection, even if you have a user account with them. All you have to do is go to the proxy servers provider’s website, click on the link that says unblock Instagram (some proxy servers don’t even require that; they just unblock Instagram and other sites when you interact with their input field), and then paste the URL in the text field provided to unblock Instagram.