Update SDH-GameSync to v1.1.2

[AkazaRenn]

Update SDH-GameSync to v1.1.2

v1.1.0 change

1. Add option to not sync when Steam is in offline mode
2. Support syncing clips, achieved by patching window.g_GRS.m_clips.set
3. Add option to trigger screenshots and clips syncing with global sync (only allowed when capture_delete_after_sync is enabled)

v1.1.1 change

1. Allow syncing captures on game start/stop without a global filter
2. Use built in clips API, thanks to feat(globals): document the other stores decky-frontend-lib#121

v1.1.2 change

1. Fix error on resync from the logs page

Task Checklist

Developer

• I am the original author or an authorized maintainer of this plugin.
• I have abided by the licenses of the libraries I am utilizing, including attaching license notices where appropriate.
• Generative AI was NOT used to write a majority of the code I am submitting.

Plugin

• I have verified that my plugin works properly on the Stable and Beta update channels of SteamOS.
• I have verified my plugin is unique or provides more/alternative functionality to a plugin already on the store.

Backend

• No: I am using a custom backend other than Python.
• No: I am using a tool or software from a 3rd party FOSS project that does not have it's dependencies statically linked.
• Yes: I am using a custom binary that has all of it's dependencies statically linked.

Community

• I have tested and left feedback on two other pull requests for new or updating plugins.
• I have commented links to my testing report in this PR.

Testing

• Tested by a third party on SteamOS Stable or Beta update channel.

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