Yes, you are eligible for joining btech in Andhrapradesh.

Moreover, in Andhra Pradesh, you will receive fee reimbursement, but not from the state government. The Telangana government will reimburse your fees. Use the Telangana Epass website to submit your application.

Colleges in Andhra Pradesh for btech -

https://engineering.careers360.com/colleges/list-of-be-btech-colleges-in-andhra-pradesh

Contact the college you plan to attend for more information.