[docs] Update links to Gesture Handler docs (#8962)

## Summary

After releasing beta version of Gesture Handler 3, some of the links in
documentation have changed and referencing old ones results in 404. This
has been partially solved on our side with [redirects and legacy
section](software-mansion/react-native-gesture-handler#3976).
However, we still need to update some links in Reanimated.

## Test plan

Check links in docs.

Author: m-bert

docs/docs-reanimated/docs/fundamentals/handling-gestures.mdx

@@ -16,7 +16,7 @@ Let's start with the simplest gesture - tapping. Tap gesture detects fingers tou
 
 In this example, we'll create a circle that will grow and change color on touch.
 
-First, let's wrap our app with [`GestureHandlerRootView`](https://docs.swmansion.com/react-native-gesture-handler/docs/fundamentals/installation/#js). Make sure to keep the `GestureHandlerRootView` as close to the actual root view as possible. That'll ensure that our gestures will work as expected with each other.
+First, let's wrap our app with [`GestureHandlerRootView`](https://docs.swmansion.com/react-native-gesture-handler/docs/fundamentals/root-view). Make sure to keep the `GestureHandlerRootView` as close to the actual root view as possible. That'll ensure that our gestures will work as expected with each other.
 
 ```jsx
 import { GestureHandlerRootView } from 'react-native-gesture-handler';
@@ -43,15 +43,15 @@ We'd like our circle to change color from violet to yellow and smoothly scale by
 
 <CollapsibleCode showLines={[27, 30]} src={TapGestureSrc}/>
 
-You need to pass your defined gesture to the `gesture` prop of the [`GestureDetector`](https://docs.swmansion.com/react-native-gesture-handler/docs/gestures/gesture-detector) component. That component should wrap the view you'd like to handle gestures on. Also, remember to pass the defined `animatedStyles` to the view you want to animate like so:
+You need to pass your defined gesture to the `gesture` prop of the [`GestureDetector`](https://docs.swmansion.com/react-native-gesture-handler/docs/legacy-gestures/gesture-detector) component. That component should wrap the view you'd like to handle gestures on. Also, remember to pass the defined `animatedStyles` to the view you want to animate like so:
 
 <CollapsibleCode showLines={[32, 43]} src={TapGestureSrc}/>
 
 And that's it! Pretty straightforward, isn't it? Let's see it in its full glory in an interactive example:
 
 <InteractiveExample src={TapGestureSrc} component={TapGesture} label="Tap the circle"/>
 
-You can make use of [composing gestures](https://docs.swmansion.com/react-native-gesture-handler/docs/fundamentals/gesture-composition/) to more complex behaviors. But what if we'd like to create something a bit more interesting?
+You can make use of [composing gestures](https://docs.swmansion.com/react-native-gesture-handler/docs/legacy-gestures/gesture-composition/) to more complex behaviors. But what if we'd like to create something a bit more interesting?
 
 ## Handling pan gestures