[IMPROVEMENT] Adopting Non-linear Slide-In Animations Across the UI

### Please confirm these before moving forward.

- [x] I have searched for my feature proposal and have not found a work-in-progress/duplicate/resolved/discarded issue.
- [x] This improvement refers to an existing feature. If you want to suggest a new feature, please use [this template](https://github.com/Devolutions/UniGetUI/issues/new?labels=new-feature&projects=&template=feature-request.yml&title=%5BFEATURE+REQUEST%5D+%28Enter+your+description+here%29).
- [x] This improvement is not a bug. If you want to report a bug, please use [this template](https://github.com/Devolutions/UniGetUI/issues/new?labels=bug&projects=&template=bug-issue.yml&title=%5BBUG%5D+%28Enter+your+description+here%29).

### Describe the improvement

https://github.com/user-attachments/assets/4ffa9ec7-c986-4066-bb36-2d9206d8bce2

The current UI uses linear slide-in animations across the board, which can look a bit dated when compared to modern fluent design principles.

Non-linear example:

https://github.com/user-attachments/assets/e138b588-00fd-40c4-814f-71917c7402fa

### Describe how this improvement could help users

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No files, tests, or entry points are named. Start by locating the UI entry points responsible for the current linear slide-in animations and compare them with the linked non-linear examples. Done means the applicable UI slide-ins use an agreed non-linear behavior consistently across the defined scope.

Written by the indexing model from the issue text.