fix: useAnimatedProps on input component not working on web (#6964)

## Summary

Fixes #6202.
Due to React Native's `_valueTracker`, using `useAnimatedProps` won't
work on input component. Before when using `react-native-web` <= 18 we
were able to set `text` props using `setNativeProps` legacy function.
Currently on newer `react-native-web`, (and due to the `_valueTracker`),
we were trying to `setAttribute` `text` on input component
-unsuccessfully.
This PR implements fix that checks whether current component is `input`
with a prop `text`, if so it updates props directly on it.

With a support from this
[PR](#6691).

## Test plan

Run **JS props** or **Amount** in `web-example`

---------

Co-authored-by: Tomek Zawadzki <tomasz.zawadzki@swmansion.com>

packages/react-native-reanimated/src/ReanimatedModule/js-reanimated/index.ts

@@ -159,7 +159,14 @@ const updatePropsDOM = (
 
   for (const key in domStyle) {
     if (isAnimatedProps) {
-      (component as HTMLElement).setAttribute(key, domStyle[key]);
+      // We need to explicitly set the 'text' property on input component because React Native's
+      // internal _valueTracker (https://github.com/facebook/react/blob/main/packages/react-dom-bindings/src/client/inputValueTracking.js)
+      // prevents updates when only modifying attributes.
+      if ((component as HTMLElement).nodeName === 'INPUT' && key === 'text') {
+        (component as HTMLInputElement).value = domStyle[key] as string;
+      } else {
+        (component as HTMLElement).setAttribute(key, domStyle[key]);
+      }
     } else {
       (component.style as StyleProps)[key] = domStyle[key];
     }