This change updates the existing client to now allow stripping the query parameters with the newly added query filter component. This change also enables the `QueryFilterComponent` flag **enabled** by default and removes all references to the old code. This means that turning off the flag would also turn off the whole query filter feature explicitly as discussed [here](https://github.com/brave/brave-core/pull/36222#discussion_r3197754497). Manual testing [video](https://github.com/user-attachments/assets/22df2285-a077-4881-be96-22a38d29e180). Resolves https://github.com/brave/brave-browser/issues/55305