refactor: simplify and unify `DatabaseFilePicker` instantiation #1940

Job	Run time
Build (Unit-tests & Android-Lint)	5m 29s
Android UI-tests on emulator (27, default)	5m 15s
Android UI-tests on emulator (32, default)	5m 14s
Android UI-tests on emulator (23, default)	5m 14s
Android UI-tests on emulator (28, default)	5m 13s
Android UI-tests on emulator (24, default)	5m 15s
Android UI-tests on emulator (36, default)	5m 15s
Android UI-tests on emulator (26, default)	5m 14s
Android UI-tests on emulator (25, default)	5m 13s
Android UI-tests on emulator (29, default)	5m 13s
Android UI-tests on emulator (34, default)	5m 15s
Android UI-tests on emulator (31, default)	5m 15s
Android UI-tests on emulator (30, default)	5m 14s
Android UI-tests on emulator (33, default)	5m 13s
Android UI-tests on emulator (35, default)	5m 15s
	1h 18m 47s

Provide feedback