ci(pubsublite): run integration test in more builds

[dbolduc]

Currently, the integration test only runs on integration-production-pr. Let's run it on some other linux bazel builds.

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This change is 

[google-cloud-cpp-bot]

Google Cloud Build Logs For commit: 54ede6668adb358edb8e152706c177b9e1f166c2

• Public Access Build Logs
• Cloud Build Console (requires auth)
• Kokoro Logs (requires auth)

:information_source: NOTE: Kokoro logs are linked from "Details" below.

[codecov[bot]]

Codecov Report

Merging #9686 (54ede66) into main (ad5aceb) will increase coverage by 0.06%. The diff coverage is n/a.

@@            Coverage Diff             @@
##             main    #9686      +/-   ##
==========================================
+ Coverage   94.29%   94.35%   +0.06%     
==========================================
  Files        1494     1495       +1     
  Lines      139063   139136      +73     
==========================================
+ Hits       131124   131280     +156     
+ Misses       7939     7856      -83     

Impacted Files	Coverage Δ
...le/cloud/internal/default_completion_queue_impl.cc	96.59% <0.00%> (-0.57%)	:arrow_down:
...te/integration_tests/publisher_integration_test.cc	100.00% <0.00%> (ø)
google/cloud/pubsub/samples/samples.cc	90.77% <0.00%> (+0.07%)	:arrow_up:
...cloud/pubsub/internal/subscription_session_test.cc	98.15% <0.00%> (+0.33%)	:arrow_up:
google/cloud/internal/log_wrapper.cc	86.13% <0.00%> (+2.97%)	:arrow_up:
google/cloud/pubsublite/internal/stream_factory.h	82.60% <0.00%> (+21.73%)	:arrow_up:
google/cloud/pubsublite/publisher_connection.cc	84.88% <0.00%> (+84.88%)	:arrow_up:

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