Use bundled cache from root

[TonyCTHsu]

What does this PR do?

1. Cache root dependencies to improve speed.
2. Purge caches when PR close

Change log entry
None.

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.72%. Comparing base (e657ebf) to head (8237f26).

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #4337      +/-   ##
==========================================
+ Coverage   97.71%   97.72%   +0.01%     
==========================================
  Files        1368     1368              
  Lines       82998    82999       +1     
  Branches     4220     4220              
==========================================
+ Hits        81102    81114      +12     
+ Misses       1896     1885      -11     

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[datadog-datadog-prod-us1]

Datadog Report

Branch report: poc/cache
Commit report: 8237f26
Test service: dd-trace-rb

✅ 0 Failed, 22080 Passed, 1477 Skipped, 6m 15.88s Total Time

[pr-commenter]

Benchmarks

Benchmark execution time: 2025-02-03 12:42:24

Comparing candidate commit 8237f26 in PR branch poc/cache with baseline commit e657ebf in branch master.

Found 1 performance improvements and 0 performance regressions! Performance is the same for 30 metrics, 2 unstable metrics.

scenario:tracing - Propagation - Trace Context

• 🟩 throughput [+3872.263op/s; +3980.329op/s] or [+11.344%; +11.661%]