Migrate Cypress to TypeScript

[HCY123902]

What feature(s) would you like to see in RepoSense

As part of #1936, the current cypress files written in JavaScript can be migrated to TypeScript. Although this may not have much value on its own, such migration enhances the consistency of RepoSense frontend implementation and is still a necessary part of the entire TypeScript migration.

Is the feature request related to a problem?

The original frontend implementation uses JavaScript, which is not type safe in many cases. Introducing TypeScript can enhance the safety, readability, and maintainability of the implementation

If possible, describe the solution

The solution will be similar to those proposed by other pull requests linked in #1936

If applicable, describe alternatives you've considered

Additional context

This is part of #1936. The reason why this is separated as a standalone task is that it may be a suitable issue for the first time contributors since there are existing solutions for reference