chore: enforce consistent type imports

[overbalance]

Summary

• Add @typescript-eslint/consistent-type-imports rule to eslint.base.js with fixStyle level to enforce import type syntax for type-only imports across the repo
• Apply automated lint fixes across all ts files, converting regular imports to type imports where appropriate

Test plan

• npm run lint:fix passes

[trentm]

One Q.
This looks great though -- from a preliminary look.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 95.70%. Comparing base (253fec6) to head (2526d85).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #6467   +/-   ##
=======================================
  Coverage   95.70%   95.70%           
=======================================
  Files         364      364           
  Lines       11774    11774           
  Branches     2747     2747           
=======================================
  Hits        11268    11268           
  Misses        506      506           

Files with missing lines	Coverage Δ
api/src/api/context.ts	91.66% <ø> (ø)
api/src/api/diag.ts	100.00% <100.00%> (ø)
api/src/api/metrics.ts	88.88% <ø> (ø)
api/src/api/propagation.ts	100.00% <100.00%> (ø)
api/src/api/trace.ts	100.00% <ø> (ø)
api/src/baggage/context-helpers.ts	90.90% <ø> (ø)
api/src/baggage/utils.ts	100.00% <ø> (ø)
api/src/context/NoopContextManager.ts	100.00% <ø> (ø)
api/src/context/context.ts	80.00% <ø> (ø)
api/src/diag/ComponentLogger.ts	94.73% <ø> (ø)
... and 144 more

... and 58 files with indirect coverage changes

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[trentm]

Worth changelog entries? I don't have a strong feeling.

[overbalance]

@trentm Added changelogs to be thorough

[trentm]

Note to self: Some discussion/justification for this change is here: #6371 (comment)

[trentm]

LGTM. THanks!