Update to mmp/lc_integration avail-core branch

[utsire]

Pull Request type

Please add the labels corresponding to the type of changes your PR introduces:

• Feature
• Bugfix
• Refactor
• Format
• Documentation
• Testing
• [ x ] Other: Downstream dependency update

Description

Draft PR updating avail core to the version here. Waiting on that PR to get merged.

Related Issues

Testing Performed

Checklist

• [ x ] I have performed a self-review of my own code.
• The tests pass successfully with cargo test.
• [ x ] The code was formatted with cargo fmt.
• [ x ] The code compiles with no new warnings with cargo build --release and cargo build --release --features runtime-benchmarks.
• [ x ] The code has no new warnings when using cargo clippy.
• If this change affects documented features or needs new documentation, I have created a PR with a documentation update.