chore: upgrade to typescript-eslint v8

[loganrosen]

Which problem is this PR solving?

The repository currently depends on an old version of typescript-eslint (v5).

Short description of the changes

Upgrading to typescript-eslint v8 to pick up the latest recommended lint rules and modifying the code to be compliant with the new rules. In most cases, this required updating/adding new ignores for renamed/new rules. In other cases, non-breaking changes were made to the code to make it compliant. I also upgraded eslint to the last v8 version due to a new stricter peer dependency requirement.

How Has This Been Tested?

npm run lint and npm run test succeed.

[linux-foundation-easycla]

The committers listed above are authorized under a signed CLA.

• ✅ login: loganrosen / name: Logan Rosen (8281a76, b8ab542)

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 94.95%. Comparing base (8e50498) to head (8281a76).
Report is 62 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #5478   +/-   ##
=======================================
  Coverage   94.95%   94.95%           
=======================================
  Files         308      308           
  Lines        7928     7933    +5     
  Branches     1604     1608    +4     
=======================================
+ Hits         7528     7533    +5     
  Misses        400      400           

Files with missing lines	Coverage Δ
api/src/diag/ComponentLogger.ts	95.00% <100.00%> (ø)
api/src/propagation/TextMapPropagator.ts	14.28% <ø> (ø)
api/src/trace/NoopTracer.ts	97.67% <100.00%> (+0.23%)	⬆️
...ntelemetry-instrumentation-grpc/src/serverUtils.ts	90.66% <ø> (ø)
...ental/packages/opentelemetry-sdk-node/src/utils.ts	92.03% <ø> (ø)
...r-base/src/bounded-queue-export-promise-handler.ts	100.00% <100.00%> (ø)
...-base/src/configuration/otlp-http-configuration.ts	100.00% <ø> (ø)
...rter-base/src/transport/http-exporter-transport.ts	94.44% <ø> (ø)
...-grpc-exporter-base/src/grpc-exporter-transport.ts	100.00% <ø> (ø)
...kages/opentelemetry-core/src/utils/lodash.merge.ts	60.86% <ø> (ø)
... and 8 more

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.
• 📦 JS Bundle Analysis: Save yourself from yourself by tracking and limiting bundle sizes in JS merges.

[github-actions]

This PR is stale because it has been open 60 days with no activity. Remove stale label or comment or this will be closed in 14 days.