Changes proposed in this Pull Request:

Closes https://linear.app/a8c/issue/GOOWOO-370/product-feed-showing-now-synced-products

Screenshots:

Before:

After:

Detailed test instructions:

1. Checkout the develop branch
2. Find or create a product to test (e.g. wp post list --post_type=product --post_status=publish --fields=ID,post_title --format=table)
3. For the product, set the pull-synced state (replace {ID} with the product ID):

wp post meta update {ID} _wc_gla_visibility sync-and-show
wp post meta update {ID} _wc_gla_sync_status synced
wp post meta update {ID} _wc_gla_synced_at $(date +%s)
wp post meta delete {ID} _wc_gla_mc_status
wp post meta delete {ID} _wc_gla_google_ids

Note: a delete error may show for the last 2 items, it's not a fail, they just didn't exist.

4. Confirm the state looks correct: wp post meta list {ID} --keys=_wc_gla_visibility,_wc_gla_sync_status,_wc_gla_synced_at,_wc_gla_google_ids,_wc_gla_mc_status --format=table

Expected: only visibility = sync-and-show, sync_status = synced, synced_at = a number. google_ids and mc_status must be absent.

5. In WP Admin go to Google for WooCommerce → Product Feed.

Wait up to 10 seconds for the status column to populate.
Expected: products show "Not synced"

6. Check out this feature branch: feature/GOOWOO-370-product-feed-showing-now-synced-products

7. Reload the product feed page in WP Admin

Wait up to 10 seconds for the status column to populate.

Expected: products show "Pending"

"Pending" is the correct result — the product has been submitted via pull sync but Google has not yet written back a confirmed MC status. In a live connected environment this would progress to "Approved" once the MC status refresh job runs.

Additional details:

Fix - Corrected sync status shown in WP Admin