Remove deprecated metrics APIs

[anuraaga]

No description provided.

[anuraaga]

Ah while I didn't think we should add a 1.9 vs 1.10-RC1 japi during the release, it looks like I should have at least refreshed current_vs_latest during the release, this is the diff vs RC1 (no diff)

[jkwatson]

I wonder if we should also just generate the api diffs between 0.9.0 and the RC, for completeness. We can end up also having 0.9.0->0.10.0 when we release for real.

[codecov]

Codecov Report

Merging #3990 (4775f58) into main (cbecf1f) will increase coverage by 0.04%.
The diff coverage is 100.00%.

@@             Coverage Diff              @@
##               main    #3990      +/-   ##
============================================
+ Coverage     89.71%   89.76%   +0.04%     
+ Complexity     4272     4269       -3     
============================================
  Files           513      512       -1     
  Lines         12941    12934       -7     
  Branches       1248     1248              
============================================
  Hits          11610    11610              
+ Misses          927      922       -5     
+ Partials        404      402       -2     

Impacted Files	Coverage Δ
...telemetry/sdk/metrics/SdkMeterProviderBuilder.java	96.29% <ø> (-0.38%)	⬇️
...toconfigure/OpenTelemetrySdkAutoConfiguration.java	61.90% <100.00%> (ø)
...etry/exporter/otlp/internal/CodedOutputStream.java	67.45% <0.00%> (-1.19%)	⬇️
...ntelemetry/sdk/extension/resources/OsResource.java	90.69% <0.00%> (+4.65%)	⬆️
...ava/io/opentelemetry/sdk/internal/RateLimiter.java	100.00% <0.00%> (+5.88%)	⬆️
...metry/sdk/extension/resources/ProcessResource.java	87.50% <0.00%> (+6.25%)	⬆️
...elemetry/sdk/extension/resources/HostResource.java	92.30% <0.00%> (+15.38%)	⬆️
...dk/extension/resources/ProcessRuntimeResource.java	100.00% <0.00%> (+16.66%)	⬆️

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