[HOLD for payment 2024-08-07] [Search v2.1] [App] Create Type filter

[luacmartins]

Implement this section of the design doc for the Type filter only!

cc @adamgrzybowski @Kicu @WojtekBoman @Guccio163

Issue Owner

Current Issue Owner: @joekaufmanexpensify

[melvin-bot]

Triggered auto assignment to @joekaufmanexpensify (NewFeature), see https://stackoverflowteams.com/c/expensify/questions/14418#:~:text=BugZero%20process%20steps%20for%20feature%20requests for more details. Please add this Feature request to a GH project, as outlined in the SO.

[luacmartins]

@Kicu is already working on this one!

[joekaufmanexpensify]

Sounds good! @Kicu mind commenting here so we can assign you, and linking the PR (if there is one)