browser-integration-tests: drop static pins from non-tracing suites #24145

Follow the porting recipe in the parent issue.

Largest group by file count and the smallest by effort. Around 226 pinned init.js files never assert on a transaction envelope, so the pin just needs to go.

Suites (pin removal only)

• replay/* (78 files, the single biggest block)
• feedback/*, sessions/*, errors/*, stacktraces/*, transport/*, wasm/*, old-sdk-interop/*, manual-client/*, ipv6
• public-api/* except the span surface dirs owned by the trace semantics sub-issue
• integrations/* except httpclient, which the trace semantics sub-issue owns

Watch-outs

• replay/dsc and public-api/dataCollection do assert on the trace context, so they need a rewrite rather than a pin removal.
• profiling/traceLifecycleMode_multiple-chunks and traceLifecycleMode_overlapping-spans intentionally test the static lifecycle. Leave their pins in place.
• integrations/cultureContext-streamed and integrations/httpContext-streamed are twins. Fold them back into their static originals.