Logs are missed after code change

copied from https://github.com/GoogleCloudPlatform/cloud-code-intellij-internal/issues/2584#

- Start a skaffold k8s session with an app that contains a readiness probe (the specific setup with a spring-boot app using Jib)
- Make a code edit

expected: logs continue streaming
actual: some of the application logs are not printed until the readiness probe passes (the theory); e.g. the spring boot start up logs are not printed.

See [these](https://github.com/GoogleCloudPlatform/cloud-code-intellij-internal/issues/2584#issuecomment-692336749) [comments](https://github.com/GoogleCloudPlatform/cloud-code-intellij-internal/issues/2584#issuecomment-692336802) from the copied issue.