List Google calendars and choose the one to push to (Feature 16)

GET /api/v1/integrations/google/calendars trades the stored refresh token
for an access token, reads every calendarList page and answers
[{id, summary, primary, accessRole}] for writer and owner calendars only.
PUT /api/v1/integrations/google/calendar {calendar_id} validates the id
against that same filtered listing and stores calendar_id and
calendar_name; any other id is 422 unknown_calendar.

Both hold the service's account lock, answer 409 not_connected with
nothing connected, and 502 reconnect_required when Google no longer
accepts the grant, leaving the connection as it is. The gcaltest fake
gains the refresh grant and a pausable calendarList endpoint.

Maestro task 0fe3f1f2-4932-4d10-81dd-74c4f630d215.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

internal/db/querier.go

@@ -194,6 +194,8 @@ type Querier interface {
 	RedraftWeekPlan(ctx context.Context, arg RedraftWeekPlanParams) error
 	// An unknown id returns sql.ErrNoRows.
 	SetDinnerFavorite(ctx context.Context, arg SetDinnerFavoriteParams) (Dinner, error)
+	// Sets the chosen calendar; affects no row when nothing is connected.
+	SetIntegrationsGoogleCalendar(ctx context.Context, arg SetIntegrationsGoogleCalendarParams) (int64, error)
 	// Marks a pending batch running; a batch in any other status is left as
 	// it is (0 rows).
 	StartSuggestionBatch(ctx context.Context, arg StartSuggestionBatchParams) (int64, error)