This issue still needs analysis & discussions but we need to start from somewhere :) The purpose of this issue is first of all figuring out what needs to be done on mobile side to support GSS on "block level".

Background

Global Style System <<-- master issue. At the end, we’ll need a mechanism on mobile side to propagate down the styles from top level to component level while considering the priorities at each level. Theme (global) > User (edited global styles) > Specific styles per post > specific styles per block.

What's implemented so far on web is the last level of priority (block level specific style) in some blocks for colors and line-height. +experimental support for the theme level styles (theme.json file)

Related web PRs:

Introduce a support key for support global style colors in blocks
WordPress/gutenberg#21021
Use inline styles instead of CSS variables for the style attribute:
WordPress/gutenberg#21428

Updating some blocks using the colors support key:
WordPress/gutenberg#21037
WordPress/gutenberg#21038
WordPress/gutenberg#21039
WordPress/gutenberg#21169

Gradients:
WordPress/gutenberg#21375
WordPress/gutenberg#21481

Apply the custom global styles CSS variables on the server:
WordPress/gutenberg#21420

What has been done so far on mobile side?

Merged Add color hooks for the mobile implementation

What else needs to be done on mobile?

1. We know we need to make getEditWrapperProps work on mobile

This is the follow up work for this convo: WordPress/gutenberg#21257 (comment)

2. Discuss&Analyze what else needs to be done to support "block level specific style(last level of priority)" on mobile.

cc @Tug @maxme @hypest @SergioEstevao