}

// allTierStats is a collection of per-tier stats across all configured remote
// tiers.
type allTierStats struct {
	Tiers map[string]tierStats `msg:"ts"`
}

func newAllTierStats() *allTierStats {
	return &allTierStats{
		Tiers: make(map[string]tierStats),
	}
}

func (ats *allTierStats) addSizes(tiers map[string]tierStats) {
	for tier, st := range tiers {