Tests: Reorganise specs, remove flakes

Cypress tests needs to be reorganised a bit in terms of spec naming, file naming and spec placement as well as use of before-each in the tests.
Also there are flakes in cypress right now which needs to be addressed

Start with the Cypress test suite and review its current spec naming, file naming, placement, and before-each usage. Identify the flaky tests and reorganize the suite so its structure is consistent and the reported Cypress flakes are resolved.

Written by the indexing model from the issue text.