[HOLD for payment 2024-08-05] [Search v2.1] [App] Use new query syntax

[luacmartins]

Implement this section of the design doc.

Holding on:

• [HOLD for payment 2024-07-24] [Search v2] [App] Create getFilters #45025

cc @adamgrzybowski @Kicu @WojtekBoman

Issue Owner

Current Issue Owner: @adelekennedy

[melvin-bot]

Triggered auto assignment to @adelekennedy (Bug), see https://stackoverflow.com/c/expensify/questions/14418 for more details. Please add this bug to a GH project, as outlined in the SO.

[melvin-bot]

Triggered auto assignment to @garrettmknight (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.