api: fix wrong status in the API debug log

[djshow832]

What problem does this PR solve?

Issue Number: close #752

Problem Summary:
The status is fetched before the handler is called, so the status is always 200.

What is changed and how it works:
Fetch the status after the handler is called. Besides, remove path and end because they can be inferred from somewhere else.

Check List

Tests

• Unit test
• Integration test
• Manual test (add detailed scripts or steps below)
• No code

[2025/03/06 10:18:57.550 +08:00] [DEBUG] [main.api] [api/server.go:166] [/api/traffic/capture]  [status=500] [method=POST] [query=] [ip=127.0.0.1] [user-agent=Go-http-client/1.1] [latency=187.75µs]

Notable changes

• Has configuration change
• Has HTTP API interfaces change
• Has tiproxyctl change
• Other user behavior changes

Release note

Please refer to Release Notes Language Style Guide to write a quality release note.

- Fix wrong status in the API debug log

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Please upload report for BASE (main@968d316). Learn more about missing BASE report.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #753   +/-   ##
=======================================
  Coverage        ?   66.31%           
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  Files           ?      126           
  Lines           ?    11615           
  Branches        ?        0           
=======================================
  Hits            ?     7703           
  Misses          ?     3354           
  Partials        ?      558           

Flag	Coverage Δ
unit	66.31% <100.00%> (?)

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[ti-chi-bot]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: xhebox

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Details

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• OWNERS [xhebox]

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[ti-chi-bot]

[LGTM Timeline notifier]

Timeline:

• 2025-03-06 07:45:12.590575168 +0000 UTC m=+514025.719494914: ☑️ agreed by xhebox.

[djshow832]

/cherry-pick release-1.3

[ti-chi-bot]

@djshow832: new pull request created to branch release-1.3: #782.

Details

In response to this:

/cherry-pick release-1.3

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