feat(agents/invoke): display server response timing after successful invoke

[VBhadauria]

Summary

Display server response timing after every successful azd ai agent invoke:

⏱  Server responded in 6.775s (first byte: 1.101s)

Changes

invoke.go

• printInvokeTiming(w, total, ttfb) — green timing line via fatih/color (already used in extension)
• formatDuration(d) — always formats as seconds with 3 decimal places (0.943s, 6.667s)
• Instruments all 4 invoke paths: responsesRemote, responsesLocal, invocationsRemote, invocationsLocal
• TTFB captured when client.Do() returns (headers received)
• Total captured after full response body consumed (stream finished)
• Success only — no timing on errors
• Suppressed in --output raw — machine-consumable output stays clean

invoke_timing_test.go

Table-driven tests covering:

• formatDuration unit tests (0ms → 14.7s)
• printInvokeTiming output format
• Responses local: success ✅, failure ✅, raw mode ✅
• Invocations local: sync JSON ✅, SSE streaming ✅, failure ✅, raw mode ✅

Motivation

Users have no visibility into agent latency during the quickstart. This surfaces:

• TTFB — cold start / model latency (14s on new projects vs 1s warm)
• Total — full response including streaming

Examples

Scenario	Output
Remote (warm)	⏱ Server responded in 6.775s (first byte: 1.101s)
Remote (cold start)	⏱ Server responded in 20.476s (first byte: 14.727s)
Local	⏱ Server responded in 0.943s (first byte: 0.943s)
Failure	(no timing — just the error)
--output raw	(no timing — raw wire format only)

Dependencies

github.com/fatih/color — already in use (eval.go, banner.go).

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[Copilot]

Pull request overview

Adds post-invoke latency visibility to the Azure AI Agents extension by printing a timing summary (total duration + TTFB) after successful azd ai agent invoke executions, while keeping --output raw clean.

Changes:

• Added printInvokeTiming + formatDuration helpers and wired timing instrumentation into all four invoke paths (responses/invocations × local/remote).
• Captured TTFB immediately after client.Do() returns and total duration after the full response body/stream is consumed.
• Introduced new table-driven tests covering duration formatting, timing output formatting, and timing suppression on failures/raw mode.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 4 comments.

File	Description
cli/azd/extensions/azure.ai.agents/internal/cmd/invoke.go	Adds timing helpers and measures/prints TTFB + total duration on successful invoke flows (suppressed in raw mode).
cli/azd/extensions/azure.ai.agents/internal/cmd/invoke_timing_test.go	Adds unit/integration-style tests for timing formatting and for timing behavior across local invoke paths.