More tracing spans

[waterloong]

What type of PR is this?

/kind feature

What this PR does / why we need it:

Director orchestrates the request lifecycle
See #1520 step2
And the PR also adds some tests.

Which issue(s) this PR fixes:

See #1520

Does this PR introduce a user-facing change?:
Director request handler now includes one level of span. When enabled via the existing --tracing flag, one more trace span is created.

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[k8s-ci-robot]

[APPROVALNOTIFIER] This PR is NOT APPROVED

This pull-request has been approved by: waterloong
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[k8s-ci-robot]

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[k8s-ci-robot]

Hi @waterloong. Thanks for your PR.

I'm waiting for a kubernetes-sigs member to verify that this patch is reasonable to test. If it is, they should reply with /ok-to-test on its own line. Until that is done, I will not automatically test new commits in this PR, but the usual testing commands by org members will still work. Regular contributors should join the org to skip this step.

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[ahg-g]

/ok-to-test
/assign @JeffLuoo

@waterloong is this still a WIP?

[k8s-ci-robot]

@waterloong: The following test failed, say /retest to rerun all failed tests or /retest-required to rerun all mandatory failed tests:

Test name	Commit	Details	Required	Rerun command
pull-gateway-api-inference-extension-verify-main	aa0a0d8	link	true	/test pull-gateway-api-inference-extension-verify-main

Full PR test history. Your PR dashboard. Please help us cut down on flakes by linking to an open issue when you hit one in your PR.

Details

Instructions for interacting with me using PR comments are available here. If you have questions or suggestions related to my behavior, please file an issue against the kubernetes-sigs/prow repository. I understand the commands that are listed here.