Update the 'Developing applications' section to using a new approach to develop apps

[andreyaksenov]

TODO: Make one more iteration after fixing #3817
Related doc issues: #3518, #3179

Product: Tarantool
Since: 3.0
Root document: https://www.tarantool.io/en/doc/latest/how-to/app/
SME: @ Totktonada, @ filonenko-mikhail

Details

The entire section should be updated to using a new approach to develop apps. Possible section structure:

https://docs.google.com/document/d/1El_8nAjguzijVkOijmt7v1Jt615lirkSUqZIcG5nBzE/edit?usp=sharing

This structure is based on the tt usage scenarios and the Developer’s guide for Cartridge.