Any way to recover an app from iPhone that was deleted from library

i have vlc app has since been removed app store. wiped computer , backed important stuff stupidly forgot vlc app. exists on phone , else. haven't synced new computer yet because infrequently anyway, it's still on phone if try sync delete apps+media phone first. there way recover read-only program phone (without jailbreaking) or recourse jailbreak , copy over?

 

did try transferring purchases? i'm not sure if work, it's worth shot. right/two-finger/ctrl click on iphone in itunes, , select transfer purchases. make habit of doing before syncing, whether have new app or not.

 

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