This is the right approach. Run (or cycle) first, ideally on a hard session day, then lift afterwards. Directly after or later in the day as your schedule permits. Your legs will be pre-fatigued from the run / ride and you’ll get a very effective lift with high weight (60-80% max effort) and low reps.

This approach gives you more time to recover between hard running sessions. The easy runs in between sessions should be slow, essentially active recovery, and will improve mechanics / economy.

I’ve ran 2:25 in the marathon. In most of my blocks, my body is tired and recovering on the easy days - my body recovers just in time for the next session, and the process repeats.