Adding coldstart processor to pipeline drops platform.initRuntimeDone span and does not set faas.coldstart on exec span

[SeanHood]

Describe the bug
Adding coldstart processor to pipeline drops platform.initRuntimeDone span and does not set faas.coldstart on exec span.

With coldstart in the list of processors I lose the platform.initRuntimeDone span. And I don't get faas.coldstart apended to my execution span. If I remove coldstart from processors I get both spans.

Steps to reproduce
I'm using the following config for the collector

receivers:
  telemetryapi:
  otlp:
    protocols:
      grpc:
        endpoint: "localhost:4317"
      http:
        endpoint: "localhost:4318"

exporters:
  debug:
    verbosity: detailed

processors:
  coldstart:

service:
  pipelines:
    traces:
      receivers: [otlp, telemetryapi]
      processors: [coldstart]
      exporters: [debug]

What did you expect to see?
I expected to see faas.coldstart on the execution span and for the platform.initRuntimeDone span not to be dropped.

What did you see instead?

Without coldstart:

ResourceSpans #0
Resource SchemaURL: 
Resource attributes:
     -> faas.invoked_provider: Str(aws)
     -> service.name: Str(otel_lambda_hello_world)
     -> faas.name: Str(otel_lambda_hello_world)
     -> faas.max_memory: Str(128)
     -> faas.version: Str($LATEST)
     -> faas.invoked_region: Str(eu-west-2)
ScopeSpans #0
ScopeSpans SchemaURL: 
InstrumentationScope github.com/open-telemetry/opentelemetry-lambda/collector/receiver/telemetryapi 
Span #0
    Trace ID       : f630a91538b856f05d14f5b868f7e1cc
    Parent ID      : 
    ID             : 4550e3b670a330d3
    Name           : platform.initRuntimeDone
    Kind           : Internal
    Start time     : 2025-01-09 23:21:10.115 +0000 UTC
    End time       : 2025-01-09 23:21:11.549 +0000 UTC
    Status code    : Unset
    Status message : 
Attributes:
     -> faas.coldstart: Bool(true)

ResourceSpans #0
Resource SchemaURL: 
Resource attributes:
     -> telemetry.sdk.language: Str(python)
     -> telemetry.sdk.name: Str(opentelemetry)
     -> telemetry.sdk.version: Str(1.28.1)
     -> cloud.region: Str(eu-west-2)
     -> cloud.provider: Str(aws)
     -> faas.name: Str(otel_lambda_hello_world)
     -> faas.version: Str($LATEST)
     -> faas.instance: Str(2025/01/09/[$LATEST]9951d9d5fe0f4beba22eff18bc328480)
     -> service.name: Str(otel_lambda_hello_world)
     -> telemetry.auto.version: Str(0.49b1)
ScopeSpans #0
ScopeSpans SchemaURL: 
InstrumentationScope opentelemetry.instrumentation.aws_lambda 0.49b1
Span #0
    Trace ID       : 06b188f39291ea2b7829fe64ce0a25d6
    Parent ID      : 
    ID             : 2f7f9ca964727317
    Name           : main.handler
    Kind           : Server
    Start time     : 2025-01-09 23:21:11.55128671 +0000 UTC
    End time       : 2025-01-09 23:21:11.551345334 +0000 UTC
    Status code    : Unset
    Status message : 
Attributes:
     -> cloud.resource_id: Str(arn:aws:lambda:eu-west-2:REDACTED:function:otel_lambda_hello_world:$LATEST)
     -> faas.invocation_id: Str(a1ff9c27-6956-4384-a210-8a0024e386a0)
     -> cloud.account.id: Str(REDACTED)

With coldstart:

ResourceSpans #0
Resource SchemaURL: 
Resource attributes:
     -> telemetry.sdk.language: Str(python)
     -> telemetry.sdk.name: Str(opentelemetry)
     -> telemetry.sdk.version: Str(1.28.1)
     -> cloud.region: Str(eu-west-2)
     -> cloud.provider: Str(aws)
     -> faas.name: Str(otel_lambda_hello_world)
     -> faas.version: Str($LATEST)
     -> faas.instance: Str(2025/01/09/[$LATEST]ec0453f29c21427db20c427b258992d2)
     -> service.name: Str(otel_lambda_hello_world)
     -> telemetry.auto.version: Str(0.49b1)
ScopeSpans #0
ScopeSpans SchemaURL: 
InstrumentationScope opentelemetry.instrumentation.aws_lambda 0.49b1
Span #0
    Trace ID       : 563d35a31df8201c210762c63a96312e
    Parent ID      : 
    ID             : 79f4578262df0ab0
    Name           : main.handler
    Kind           : Server
    Start time     : 2025-01-09 23:19:51.442849152 +0000 UTC
    End time       : 2025-01-09 23:19:51.44289955 +0000 UTC
    Status code    : Unset
    Status message : 
Attributes:
     -> cloud.resource_id: Str(arn:aws:lambda:eu-west-2:REDACTED:function:otel_lambda_hello_world:$LATEST)
     -> faas.invocation_id: Str(213145bc-f6d5-408e-b872-c57e249aa209)
     -> cloud.account.id: Str(REDACTED)

What version of collector/language SDK version did you use?
Version: arn:aws:lambda:eu-west-2:184161586896:layer:opentelemetry-collector-amd64-0_12_0:1

What language layer did you use?
arn:aws:lambda:eu-west-2:184161586896:layer:opentelemetry-python-0_11_0:1

Additional context
Env:

      AWS_LAMBDA_EXEC_WRAPPER            = "/opt/otel-instrument"
      OPENTELEMETRY_COLLECTOR_CONFIG_URI = "/var/task/otel.yaml"