[Good first issue] Add #asyncClose to LocalLog

[superhx]

Introduce an #asyncClose method to both LocalLog and ElasticLocalLog. This approach is preferred over altering the signature of the existing #close method, as it helps prevent future merge conflicts.

[Shuimo03]

hi, Can I pick this up?

[superhx]

hi, Can I pick this up?

Of course, you're welcome to submit a PR

[DaniilRoman]

Hey there 👋 Since the ticket hasn't had any updated for the months, I decided to take it over, I hope it's fine 🙏