Safe Routes Act of 2023 This bill directs the Department of Transportation to waive vehicle weight limits for covered logging vehicles. The term covered logging vehicle means a vehicle that (1) is transporting raw or unfinished forest products, including logs, pulpwood, biomass, or wood chips; (2) is traveling a distance not greater than 150 air miles from origin to a storage or processing facility; and (3) meets state legal weight tolerances and vehicle configurations for transporting raw or unfinished forest products within the state boundaries in which the vehicle is operating.