You don't need to use a file manager anymore. That was a much older system we used when the game initially launched. These days you only need to download the DLC apk, open it, download the base game, and then open the base game.
1. Download the free apk file.
2. If you have any other DLC you're installing, install those first by locating the associated apk file in your file manager and installing it. You may have to give your file manager additional permissions to install from external sources. Be sure to open the game after installing each DLC.
3. Finally, install the voiced name DLC apk. When you open the app, any DLC you installed through steps 1-4 should be available.
You can click the "DLC Info" button on the main menu to check if your content has been successfully installed, or for troubleshooting advice.