Sign into playstore webversion(https://play.google.com) with the same account that you have configured in the old phone and visit the apps page https://play.google.com/apps. This will list all the apps that you have installed using the old phone. Once you configure your new phone with the same account you device will be listed in the list of devices and you can select the new device and install it to install the app on your new phone.
Lucky
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