fix(split): Use managed queue for input report to avoid deadlock

[tomori-k]

I found that sometimes peripheral stops working when I use a trackball while holding down a key. When I put a trackball on central, this is not occurred.
As a result of my debug, the issue seems to come from deadlock on system work queue, so we should also use our managed work queue for peripheral's input report.

PR check-list

• Branch has a clean commit history
• Additional tests are included, if changing behaviors/core code that is testable.
• Proper Copyright + License headers added to applicable files (Generally, we stick to "The ZMK Contributors" for copyrights to help avoid churn when files get edited)
• Pre-commit used to check formatting of files, commit messages, etc.
• Includes any necessary documentation changes.