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To make those animations snappier, you'll first need to enable developer options on your phone
Open your phone's Settings.
Scroll down and select About phone
Scroll down to the bottom of this screen and tap Build number seven times
You'll be prompted to confirm your phone's screen lock
Here you'll find three different Animation scale settings, which will all be set to 1x by default:
Window animation scale
Transition animation scale
Animator duration scale
Change each one to .5x in order to bump up the animation speed. (Smaller numbers are faster, larger numbers are slower
You can also turn off animations altogether, but that's not advisable as things look very strange without them.)
Animator duration scale changes the speed of pretty much every other animation that happens within the OS. That includes opening and closing apps, pulling down your notification shade, and so on.
Setting each of these to 0.5x will make each animation play twice as fast, which should be instantly noticeable. Faster animation speeds can be jarring on certain phones because they've been designed to look best at normal speed, but you won't know until you play around with these options so you can see what you prefer. I'd recommend testing each one individually at first so you can be sure what effect each is having. Thankfully, you can change them back at any time by following the steps again.