[Nicer Tabs] New native pager (#6868)

* Remove tab bar autoscroll

This will be replaced by a different mechanism.

* Track pager drag gesture in a worklet

* Track pager state change in a worklet

* Track offset relative to current page

* Sync scroll to swipe

* Extract TabBarItem

* Sync scroll to swipe properly

* Implement all interactions

* Clarify more hacks

* Simplify the implementation

I was trying to be too smart and this was causing the current page event to lag behind if you continuously drag. Better to let the library do its job.

* Interpolate the indicator

* Fix an infinite swipe loop

* Add TODO

* Animate header color

* Respect initial page

* Keep layouts in a shared value

* Fix profile and types

* Fast path for initial styles

* Scroll to initial

* Factor out a helper

* Fix positioning

* Scroll into view on tap if needed

* Divide free space proportionally

* Scroll into view more aggressively

* Fix corner case

* Ignore spurious event on iOS

* Simplify the condition

Due to RN onLayout event ordering, we know that by now we'll have container and content sizes already.

* Change boolean state to enum

* Better syncing heuristic

* Rm extra return

src/view/com/home/HomeHeader.tsx

@@ -1,7 +1,6 @@
 import React from 'react'
 import {useNavigation} from '@react-navigation/native'
 
-import {usePalette} from '#/lib/hooks/usePalette'
 import {NavigationProp} from '#/lib/routes/types'
 import {FeedSourceInfo} from '#/state/queries/feed'
 import {useSession} from '#/state/session'
@@ -19,7 +18,6 @@ export function HomeHeader(
   const {feeds} = props
   const {hasSession} = useSession()
   const navigation = useNavigation<NavigationProp>()
-  const pal = usePalette('default')
 
   const hasPinnedCustom = React.useMemo<boolean>(() => {
     if (!hasSession) return false
@@ -61,7 +59,8 @@ export function HomeHeader(
         onSelect={onSelect}
         testID={props.testID}
         items={items}
-        indicatorColor={pal.colors.link}
+        dragProgress={props.dragProgress}
+        dragState={props.dragState}
       />
     </HomeHeaderLayout>
   )