Improve troubleshooting for search context closed/missing scenarios

[ppf2]

Description

For debugging and historical troubleshooting of issues related to search contexts being closed, it can be helpful for our debug or trace level logging to include the following when we return the No search context found error:

• The type of query the search context is associated to (e.g. scroll, pit, other).
• The reason for the closing (e.g. error, timeout, other).
• The search context ID so users can correlate to the No search context found for id exception
• For long running queries, a reference to the task ID can also be useful.

This can be a useful tool users can enable temporarily for a period of time to capture what happened to a specific context ID. Thx!

[elasticsearchmachine]

Pinging @elastic/es-search-foundations (Team:Search Foundations)