Almost every Telegram MCP server you can find is a repository you run yourself, usually a Python process on top of Telethon or a thin wrapper around the Bot API. They are open source and Entergram is not. If you have one account and you want the code in front of you, a repo you can read end to end is the right answer, and this page will not pretend otherwise.
What those servers ask of you is the same every time. Register an application at my.telegram.org to get an api_id and an api_hash, run a login script once to produce a session string, keep that string where your process can read it, and keep the process alive. Then repeat it for the next account, because a session belongs to exactly one account.
Entergram trades that control for reach. One hosted endpoint covers every Telegram account connected to your seat. You add an account by scanning a QR code from Telegram Settings, then Devices, then Link Desktop Device, or by entering a phone number and the login code Telegram sends to your other signed-in devices. There is no api_id, no api_hash and no session string for you to generate, store or rotate.
There is no bot token either, because these are real personal accounts rather than the Bot API. That difference is not cosmetic. A Telegram bot can only message someone who has already started a chat with it, so it cannot send the first message in an outbound conversation. A personal account can.
Connecting the server is a copy and paste rather than a deploy. Settings → Workspace → Connectors → MCP holds one URL, the same one for every client. You paste it, your client sends you to the Entergram consent screen, and you approve scopes there. There is no OAuth client for you to register.
Run your own server if you have one account, want the code in your own repository and are comfortable owning the session file. Use this one if you run several accounts and would rather not keep a session string per account on a machine you have to keep alive.