feat: support logging the range and header when registering a task

[gaius-qi]

Description

Related Issue

Motivation and Context

Screenshots (if appropriate)

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation Update (if none of the other choices apply)

Checklist

• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have read the CONTRIBUTING document.
• I have added tests to cover my changes.

[codecov]

Codecov Report

Attention: 4 lines in your changes are missing coverage. Please review.

Comparison is base (7b2a807) 51.07% compared to head (0d22a23) 51.05%.

❗ Current head 0d22a23 differs from pull request most recent head cc47287. Consider uploading reports for the commit cc47287 to get more accurate results

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2967      +/-   ##
==========================================
- Coverage   51.07%   51.05%   -0.03%     
==========================================
  Files         161      161              
  Lines       21888    21890       +2     
==========================================
- Hits        11180    11176       -4     
- Misses      10048    10052       +4     
- Partials      660      662       +2     

Flag	Coverage Δ
Object-compatibility-e2etests	?
unittests	51.05% <0.00%> (-0.03%)	⬇️

Flags with carried forward coverage won't be shown. Click here to find out more.

Files	Coverage Δ
scheduler/service/service_v2.go	84.77% <0.00%> (-0.16%)	⬇️

... and 2 files with indirect coverage changes