Design a code using tinkercad (blocks and text code) to design mini piano using push button and piezo buzzer. The idea is that on a press of each button, you should be able to produce a different tone by the buzzer and simulate the real-life piano. Additionally, you should have an option whereby you allow the user to play 3 different pre-recorded sequences of tones automatically.

Thus, firstly you use a switch or a push button to select between manual play or automatic play. If manual play is selected, the user can proceed by pressing on the allocated push buttons to produce different tones. If the automatic play is selected, the user should be able to select between minimum 3 different pre-set sounds and have the ability to stop them at any point in time.