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Metric: track cards_per_doc median for Google Doc conversions #2315

@aalemayhu

Description

@aalemayhu

Context

PM spec for #2311 set the success metric as: median `cards_per_doc` ≥ 3 by week 1 of the Doc-as-docx switch. The metric isn't instrumented yet — `upload_started_drive` and `conversion_success` exist, but neither captures card count per Doc source.

What to do

  1. Add a server-side analytics event when a Google Doc conversion finishes — payload includes `card_count` and `source: 'google_doc'`. The conversion finalization happens in `PrepareDeck` / the post-conversion job notification.
  2. Surface a chart on whatever dashboard tracks the Drive funnel (Hotjar? Custom?).
  3. Set a one-week check-in: if median `cards_per_doc` < 3, the docx → semantic HTML path isn't extracting enough structure and we revisit the parser strategy.

What this unblocks

The current "docx covers 80% of Docs" claim is unverified. This metric is the empirical answer.

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